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Finding the Third Proportional to 345,160,914.75 and 738,782,622

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Solution

The third proportional to 345,160,914.75 and 738,782,622 is: 1,581,290,752.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,160,914.75 : 738,782,622 = 738,782,622 : x
  2. Step 2: Convert to fraction form
    345,160,914.75/738,782,622 = 738,782,622/x
  3. Step 3: Cross multiply
    345,160,914.75x = 738,782,622 × 738,782,622
  4. Step 4: Simplify right side
    345,160,914.75x = 545,799,762,569,194,880
  5. Step 5: Solve for x
    x = 545,799,762,569,194,880/345,160,914.75
  6. Step 6: Final answer
    x = 1,581,290,752.36

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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.