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Finding the Third Proportional to 131,473 and 287,261

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Solution

The third proportional to 131,473 and 287,261 is: 627,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,473 : 287,261 = 287,261 : x
  2. Step 2: Convert to fraction form
    131,473/287,261 = 287,261/x
  3. Step 3: Cross multiply
    131,473x = 287,261 × 287,261
  4. Step 4: Simplify right side
    131,473x = 82,518,882,121
  5. Step 5: Solve for x
    x = 82,518,882,121/131,473
  6. Step 6: Final answer
    x = 627,648.89

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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.