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Finding the Third Proportional to 280,098.75 and 424,377

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Solution

The third proportional to 280,098.75 and 424,377 is: 642,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,098.75 : 424,377 = 424,377 : x
  2. Step 2: Convert to fraction form
    280,098.75/424,377 = 424,377/x
  3. Step 3: Cross multiply
    280,098.75x = 424,377 × 424,377
  4. Step 4: Simplify right side
    280,098.75x = 180,095,838,129
  5. Step 5: Solve for x
    x = 180,095,838,129/280,098.75
  6. Step 6: Final answer
    x = 642,972.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.