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Finding the Third Proportional to 285,464 and 614,776

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Solution

The third proportional to 285,464 and 614,776 is: 1,323,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,464 : 614,776 = 614,776 : x
  2. Step 2: Convert to fraction form
    285,464/614,776 = 614,776/x
  3. Step 3: Cross multiply
    285,464x = 614,776 × 614,776
  4. Step 4: Simplify right side
    285,464x = 377,949,530,176
  5. Step 5: Solve for x
    x = 377,949,530,176/285,464
  6. Step 6: Final answer
    x = 1,323,983.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.