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Finding the Third Proportional to 83,980 and 128,862

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Solution

The third proportional to 83,980 and 128,862 is: 197,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,980 : 128,862 = 128,862 : x
  2. Step 2: Convert to fraction form
    83,980/128,862 = 128,862/x
  3. Step 3: Cross multiply
    83,980x = 128,862 × 128,862
  4. Step 4: Simplify right side
    83,980x = 16,605,415,044
  5. Step 5: Solve for x
    x = 16,605,415,044/83,980
  6. Step 6: Final answer
    x = 197,730.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.