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Finding the Third Proportional to 217,730 and 342,147

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Solution

The third proportional to 217,730 and 342,147 is: 537,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,730 : 342,147 = 342,147 : x
  2. Step 2: Convert to fraction form
    217,730/342,147 = 342,147/x
  3. Step 3: Cross multiply
    217,730x = 342,147 × 342,147
  4. Step 4: Simplify right side
    217,730x = 117,064,569,609
  5. Step 5: Solve for x
    x = 117,064,569,609/217,730
  6. Step 6: Final answer
    x = 537,659.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.