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Finding the Third Proportional to 85,780.13 and 130,128.19

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Solution

The third proportional to 85,780.13 and 130,128.19 is: 197,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,780.13 : 130,128.19 = 130,128.19 : x
  2. Step 2: Convert to fraction form
    85,780.13/130,128.19 = 130,128.19/x
  3. Step 3: Cross multiply
    85,780.13x = 130,128.19 × 130,128.19
  4. Step 4: Simplify right side
    85,780.13x = 16,933,345,182.04
  5. Step 5: Solve for x
    x = 16,933,345,182.04/85,780.13
  6. Step 6: Final answer
    x = 197,404.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.