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Finding the Third Proportional to 131,498 and 287,548

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Solution

The third proportional to 131,498 and 287,548 is: 628,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,498 : 287,548 = 287,548 : x
  2. Step 2: Convert to fraction form
    131,498/287,548 = 287,548/x
  3. Step 3: Cross multiply
    131,498x = 287,548 × 287,548
  4. Step 4: Simplify right side
    131,498x = 82,683,852,304
  5. Step 5: Solve for x
    x = 82,683,852,304/131,498
  6. Step 6: Final answer
    x = 628,784.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.