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Finding the Third Proportional to 145,546.56 and 316,331.18

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Solution

The third proportional to 145,546.56 and 316,331.18 is: 687,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,546.56 : 316,331.18 = 316,331.18 : x
  2. Step 2: Convert to fraction form
    145,546.56/316,331.18 = 316,331.18/x
  3. Step 3: Cross multiply
    145,546.56x = 316,331.18 × 316,331.18
  4. Step 4: Simplify right side
    145,546.56x = 100,065,417,095.98
  5. Step 5: Solve for x
    x = 100,065,417,095.98/145,546.56
  6. Step 6: Final answer
    x = 687,514.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.