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Finding the Third Proportional to 172,806 and 247,113

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Solution

The third proportional to 172,806 and 247,113 is: 353,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,806 : 247,113 = 247,113 : x
  2. Step 2: Convert to fraction form
    172,806/247,113 = 247,113/x
  3. Step 3: Cross multiply
    172,806x = 247,113 × 247,113
  4. Step 4: Simplify right side
    172,806x = 61,064,834,769
  5. Step 5: Solve for x
    x = 61,064,834,769/172,806
  6. Step 6: Final answer
    x = 353,372.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.