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Finding the Third Proportional to 131,766.75 and 287,385.47

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Solution

The third proportional to 131,766.75 and 287,385.47 is: 626,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,766.75 : 287,385.47 = 287,385.47 : x
  2. Step 2: Convert to fraction form
    131,766.75/287,385.47 = 287,385.47/x
  3. Step 3: Cross multiply
    131,766.75x = 287,385.47 × 287,385.47
  4. Step 4: Simplify right side
    131,766.75x = 82,590,407,648.66
  5. Step 5: Solve for x
    x = 82,590,407,648.66/131,766.75
  6. Step 6: Final answer
    x = 626,792.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.