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Finding the Third Proportional to 217,467 and 260,541

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Solution

The third proportional to 217,467 and 260,541 is: 312,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,467 : 260,541 = 260,541 : x
  2. Step 2: Convert to fraction form
    217,467/260,541 = 260,541/x
  3. Step 3: Cross multiply
    217,467x = 260,541 × 260,541
  4. Step 4: Simplify right side
    217,467x = 67,881,612,681
  5. Step 5: Solve for x
    x = 67,881,612,681/217,467
  6. Step 6: Final answer
    x = 312,146.73

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.