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Finding the Third Proportional to 109,143 and 237,720

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Solution

The third proportional to 109,143 and 237,720 is: 517,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,143 : 237,720 = 237,720 : x
  2. Step 2: Convert to fraction form
    109,143/237,720 = 237,720/x
  3. Step 3: Cross multiply
    109,143x = 237,720 × 237,720
  4. Step 4: Simplify right side
    109,143x = 56,510,798,400
  5. Step 5: Solve for x
    x = 56,510,798,400/109,143
  6. Step 6: Final answer
    x = 517,768.42

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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.