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Finding the Third Proportional to 141,963.63 and 312,732.88

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Solution

The third proportional to 141,963.63 and 312,732.88 is: 688,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,963.63 : 312,732.88 = 312,732.88 : x
  2. Step 2: Convert to fraction form
    141,963.63/312,732.88 = 312,732.88/x
  3. Step 3: Cross multiply
    141,963.63x = 312,732.88 × 312,732.88
  4. Step 4: Simplify right side
    141,963.63x = 97,801,851,105.77
  5. Step 5: Solve for x
    x = 97,801,851,105.77/141,963.63
  6. Step 6: Final answer
    x = 688,921.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.