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Finding the Third Proportional to 287,712 and 440,327

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Solution

The third proportional to 287,712 and 440,327 is: 673,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,712 : 440,327 = 440,327 : x
  2. Step 2: Convert to fraction form
    287,712/440,327 = 440,327/x
  3. Step 3: Cross multiply
    287,712x = 440,327 × 440,327
  4. Step 4: Simplify right side
    287,712x = 193,887,866,929
  5. Step 5: Solve for x
    x = 193,887,866,929/287,712
  6. Step 6: Final answer
    x = 673,895.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.