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Finding the Third Proportional to 388,367 and 524,709

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Solution

The third proportional to 388,367 and 524,709 is: 708,915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,367 : 524,709 = 524,709 : x
  2. Step 2: Convert to fraction form
    388,367/524,709 = 524,709/x
  3. Step 3: Cross multiply
    388,367x = 524,709 × 524,709
  4. Step 4: Simplify right side
    388,367x = 275,319,534,681
  5. Step 5: Solve for x
    x = 275,319,534,681/388,367
  6. Step 6: Final answer
    x = 708,915.88

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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.