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Finding the Third Proportional to 83,490 and 129,294

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Solution

The third proportional to 83,490 and 129,294 is: 200,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,490 : 129,294 = 129,294 : x
  2. Step 2: Convert to fraction form
    83,490/129,294 = 129,294/x
  3. Step 3: Cross multiply
    83,490x = 129,294 × 129,294
  4. Step 4: Simplify right side
    83,490x = 16,716,938,436
  5. Step 5: Solve for x
    x = 16,716,938,436/83,490
  6. Step 6: Final answer
    x = 200,226.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.