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Finding the Third Proportional to 388,397 and 524,754

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Solution

The third proportional to 388,397 and 524,754 is: 708,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,397 : 524,754 = 524,754 : x
  2. Step 2: Convert to fraction form
    388,397/524,754 = 524,754/x
  3. Step 3: Cross multiply
    388,397x = 524,754 × 524,754
  4. Step 4: Simplify right side
    388,397x = 275,366,760,516
  5. Step 5: Solve for x
    x = 275,366,760,516/388,397
  6. Step 6: Final answer
    x = 708,982.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.