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Finding the Third Proportional to 217,737 and 342,157

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Solution

The third proportional to 217,737 and 342,157 is: 537,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,737 : 342,157 = 342,157 : x
  2. Step 2: Convert to fraction form
    217,737/342,157 = 342,157/x
  3. Step 3: Cross multiply
    217,737x = 342,157 × 342,157
  4. Step 4: Simplify right side
    217,737x = 117,071,412,649
  5. Step 5: Solve for x
    x = 117,071,412,649/217,737
  6. Step 6: Final answer
    x = 537,673.49

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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.