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Finding the Third Proportional to 119,720 and 178,541

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Solution

The third proportional to 119,720 and 178,541 is: 266,262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,720 : 178,541 = 178,541 : x
  2. Step 2: Convert to fraction form
    119,720/178,541 = 178,541/x
  3. Step 3: Cross multiply
    119,720x = 178,541 × 178,541
  4. Step 4: Simplify right side
    119,720x = 31,876,888,681
  5. Step 5: Solve for x
    x = 31,876,888,681/119,720
  6. Step 6: Final answer
    x = 266,262.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.