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Finding the Third Proportional to 231,657.79 and 424,872.21

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Solution

The third proportional to 231,657.79 and 424,872.21 is: 779,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,657.79 : 424,872.21 = 424,872.21 : x
  2. Step 2: Convert to fraction form
    231,657.79/424,872.21 = 424,872.21/x
  3. Step 3: Cross multiply
    231,657.79x = 424,872.21 × 424,872.21
  4. Step 4: Simplify right side
    231,657.79x = 180,516,395,626.92
  5. Step 5: Solve for x
    x = 180,516,395,626.92/231,657.79
  6. Step 6: Final answer
    x = 779,237.34

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.