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Finding the Third Proportional to 141,720 and 299,436

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Solution

The third proportional to 141,720 and 299,436 is: 632,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,720 : 299,436 = 299,436 : x
  2. Step 2: Convert to fraction form
    141,720/299,436 = 299,436/x
  3. Step 3: Cross multiply
    141,720x = 299,436 × 299,436
  4. Step 4: Simplify right side
    141,720x = 89,661,918,096
  5. Step 5: Solve for x
    x = 89,661,918,096/141,720
  6. Step 6: Final answer
    x = 632,669.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.