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Finding the Third Proportional to 287,727 and 435,587

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Solution

The third proportional to 287,727 and 435,587 is: 659,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,727 : 435,587 = 435,587 : x
  2. Step 2: Convert to fraction form
    287,727/435,587 = 435,587/x
  3. Step 3: Cross multiply
    287,727x = 435,587 × 435,587
  4. Step 4: Simplify right side
    287,727x = 189,736,034,569
  5. Step 5: Solve for x
    x = 189,736,034,569/287,727
  6. Step 6: Final answer
    x = 659,430.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.