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Finding the Third Proportional to 340,112,474,608 and 730,698,735,296

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Solution

The third proportional to 340,112,474,608 and 730,698,735,296 is: 1,569,835,515,085.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,112,474,608 : 730,698,735,296 = 730,698,735,296 : x
  2. Step 2: Convert to fraction form
    340,112,474,608/730,698,735,296 = 730,698,735,296/x
  3. Step 3: Cross multiply
    340,112,474,608x = 730,698,735,296 × 730,698,735,296
  4. Step 4: Simplify right side
    340,112,474,608x = 533,920,641,763,173,887,639,552
  5. Step 5: Solve for x
    x = 533,920,641,763,173,887,639,552/340,112,474,608
  6. Step 6: Final answer
    x = 1,569,835,515,085.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.