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Finding the Third Proportional to 287,292 and 454,694

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Solution

The third proportional to 287,292 and 454,694 is: 719,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,292 : 454,694 = 454,694 : x
  2. Step 2: Convert to fraction form
    287,292/454,694 = 454,694/x
  3. Step 3: Cross multiply
    287,292x = 454,694 × 454,694
  4. Step 4: Simplify right side
    287,292x = 206,746,633,636
  5. Step 5: Solve for x
    x = 206,746,633,636/287,292
  6. Step 6: Final answer
    x = 719,639.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.