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Finding the Third Proportional to 83,130 and 128,982.75

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Solution

The third proportional to 83,130 and 128,982.75 is: 200,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,130 : 128,982.75 = 128,982.75 : x
  2. Step 2: Convert to fraction form
    83,130/128,982.75 = 128,982.75/x
  3. Step 3: Cross multiply
    83,130x = 128,982.75 × 128,982.75
  4. Step 4: Simplify right side
    83,130x = 16,636,549,797.56
  5. Step 5: Solve for x
    x = 16,636,549,797.56/83,130
  6. Step 6: Final answer
    x = 200,126.91

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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.