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Finding the Third Proportional to 135,123.19 and 312,773.91

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Solution

The third proportional to 135,123.19 and 312,773.91 is: 723,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,123.19 : 312,773.91 = 312,773.91 : x
  2. Step 2: Convert to fraction form
    135,123.19/312,773.91 = 312,773.91/x
  3. Step 3: Cross multiply
    135,123.19x = 312,773.91 × 312,773.91
  4. Step 4: Simplify right side
    135,123.19x = 97,827,516,430.88
  5. Step 5: Solve for x
    x = 97,827,516,430.88/135,123.19
  6. Step 6: Final answer
    x = 723,987.63

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.