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Finding the Third Proportional to 345,263,242.50 and 739,651,365

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Solution

The third proportional to 345,263,242.50 and 739,651,365 is: 1,584,542,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,263,242.50 : 739,651,365 = 739,651,365 : x
  2. Step 2: Convert to fraction form
    345,263,242.50/739,651,365 = 739,651,365/x
  3. Step 3: Cross multiply
    345,263,242.50x = 739,651,365 × 739,651,365
  4. Step 4: Simplify right side
    345,263,242.50x = 547,084,141,746,363,200
  5. Step 5: Solve for x
    x = 547,084,141,746,363,200/345,263,242.50
  6. Step 6: Final answer
    x = 1,584,542,095.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.