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Finding the Third Proportional to 151,038 and 211,720

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Solution

The third proportional to 151,038 and 211,720 is: 296,781.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,038 : 211,720 = 211,720 : x
  2. Step 2: Convert to fraction form
    151,038/211,720 = 211,720/x
  3. Step 3: Cross multiply
    151,038x = 211,720 × 211,720
  4. Step 4: Simplify right side
    151,038x = 44,825,358,400
  5. Step 5: Solve for x
    x = 44,825,358,400/151,038
  6. Step 6: Final answer
    x = 296,781.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.