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Finding the Third Proportional to 287,463 and 625,261

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Solution

The third proportional to 287,463 and 625,261 is: 1,360,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,463 : 625,261 = 625,261 : x
  2. Step 2: Convert to fraction form
    287,463/625,261 = 625,261/x
  3. Step 3: Cross multiply
    287,463x = 625,261 × 625,261
  4. Step 4: Simplify right side
    287,463x = 390,951,318,121
  5. Step 5: Solve for x
    x = 390,951,318,121/287,463
  6. Step 6: Final answer
    x = 1,360,005.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.