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Finding the Third Proportional to 83,426 and 129,284

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Solution

The third proportional to 83,426 and 129,284 is: 200,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,426 : 129,284 = 129,284 : x
  2. Step 2: Convert to fraction form
    83,426/129,284 = 129,284/x
  3. Step 3: Cross multiply
    83,426x = 129,284 × 129,284
  4. Step 4: Simplify right side
    83,426x = 16,714,352,656
  5. Step 5: Solve for x
    x = 16,714,352,656/83,426
  6. Step 6: Final answer
    x = 200,349.44

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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.