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Finding the Third Proportional to 83,010 and 128,747

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Solution

The third proportional to 83,010 and 128,747 is: 199,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,010 : 128,747 = 128,747 : x
  2. Step 2: Convert to fraction form
    83,010/128,747 = 128,747/x
  3. Step 3: Cross multiply
    83,010x = 128,747 × 128,747
  4. Step 4: Simplify right side
    83,010x = 16,575,790,009
  5. Step 5: Solve for x
    x = 16,575,790,009/83,010
  6. Step 6: Final answer
    x = 199,684.26

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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.