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Finding the Third Proportional to 131,554 and 285,284

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Solution

The third proportional to 131,554 and 285,284 is: 618,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,554 : 285,284 = 285,284 : x
  2. Step 2: Convert to fraction form
    131,554/285,284 = 285,284/x
  3. Step 3: Cross multiply
    131,554x = 285,284 × 285,284
  4. Step 4: Simplify right side
    131,554x = 81,386,960,656
  5. Step 5: Solve for x
    x = 81,386,960,656/131,554
  6. Step 6: Final answer
    x = 618,658.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.