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Finding the Third Proportional to 97,960 and 212,540

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Solution

The third proportional to 97,960 and 212,540 is: 461,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,960 : 212,540 = 212,540 : x
  2. Step 2: Convert to fraction form
    97,960/212,540 = 212,540/x
  3. Step 3: Cross multiply
    97,960x = 212,540 × 212,540
  4. Step 4: Simplify right side
    97,960x = 45,173,251,600
  5. Step 5: Solve for x
    x = 45,173,251,600/97,960
  6. Step 6: Final answer
    x = 461,139.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.