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Finding the Third Proportional to 243,861.89 and 375,121.76

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Solution

The third proportional to 243,861.89 and 375,121.76 is: 577,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,861.89 : 375,121.76 = 375,121.76 : x
  2. Step 2: Convert to fraction form
    243,861.89/375,121.76 = 375,121.76/x
  3. Step 3: Cross multiply
    243,861.89x = 375,121.76 × 375,121.76
  4. Step 4: Simplify right side
    243,861.89x = 140,716,333,184.34
  5. Step 5: Solve for x
    x = 140,716,333,184.34/243,861.89
  6. Step 6: Final answer
    x = 577,032.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.