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Finding the Third Proportional to 388,206 and 521,709

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Solution

The third proportional to 388,206 and 521,709 is: 701,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,206 : 521,709 = 521,709 : x
  2. Step 2: Convert to fraction form
    388,206/521,709 = 521,709/x
  3. Step 3: Cross multiply
    388,206x = 521,709 × 521,709
  4. Step 4: Simplify right side
    388,206x = 272,180,280,681
  5. Step 5: Solve for x
    x = 272,180,280,681/388,206
  6. Step 6: Final answer
    x = 701,123.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.