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Finding the Third Proportional to 131,806 and 310,769

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Solution

The third proportional to 131,806 and 310,769 is: 732,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,806 : 310,769 = 310,769 : x
  2. Step 2: Convert to fraction form
    131,806/310,769 = 310,769/x
  3. Step 3: Cross multiply
    131,806x = 310,769 × 310,769
  4. Step 4: Simplify right side
    131,806x = 96,577,371,361
  5. Step 5: Solve for x
    x = 96,577,371,361/131,806
  6. Step 6: Final answer
    x = 732,723.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.