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Finding the Third Proportional to 70,939.13 and 145,158.75

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Solution

The third proportional to 70,939.13 and 145,158.75 is: 297,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,939.13 : 145,158.75 = 145,158.75 : x
  2. Step 2: Convert to fraction form
    70,939.13/145,158.75 = 145,158.75/x
  3. Step 3: Cross multiply
    70,939.13x = 145,158.75 × 145,158.75
  4. Step 4: Simplify right side
    70,939.13x = 21,071,062,701.56
  5. Step 5: Solve for x
    x = 21,071,062,701.56/70,939.13
  6. Step 6: Final answer
    x = 297,030.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.