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Finding the Third Proportional to 145,171.13 and 312,589.13

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Solution

The third proportional to 145,171.13 and 312,589.13 is: 673,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,171.13 : 312,589.13 = 312,589.13 : x
  2. Step 2: Convert to fraction form
    145,171.13/312,589.13 = 312,589.13/x
  3. Step 3: Cross multiply
    145,171.13x = 312,589.13 × 312,589.13
  4. Step 4: Simplify right side
    145,171.13x = 97,711,961,068.27
  5. Step 5: Solve for x
    x = 97,711,961,068.27/145,171.13
  6. Step 6: Final answer
    x = 673,081.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.