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Finding the Third Proportional to 264,387 and 402,776

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Solution

The third proportional to 264,387 and 402,776 is: 613,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,387 : 402,776 = 402,776 : x
  2. Step 2: Convert to fraction form
    264,387/402,776 = 402,776/x
  3. Step 3: Cross multiply
    264,387x = 402,776 × 402,776
  4. Step 4: Simplify right side
    264,387x = 162,228,506,176
  5. Step 5: Solve for x
    x = 162,228,506,176/264,387
  6. Step 6: Final answer
    x = 613,602.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.