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Finding the Third Proportional to 357,698 and 738,436

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Solution

The third proportional to 357,698 and 738,436 is: 1,524,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,698 : 738,436 = 738,436 : x
  2. Step 2: Convert to fraction form
    357,698/738,436 = 738,436/x
  3. Step 3: Cross multiply
    357,698x = 738,436 × 738,436
  4. Step 4: Simplify right side
    357,698x = 545,287,726,096
  5. Step 5: Solve for x
    x = 545,287,726,096/357,698
  6. Step 6: Final answer
    x = 1,524,436.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.