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Finding the Third Proportional to 251,669 and 386,981

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Solution

The third proportional to 251,669 and 386,981 is: 595,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,669 : 386,981 = 386,981 : x
  2. Step 2: Convert to fraction form
    251,669/386,981 = 386,981/x
  3. Step 3: Cross multiply
    251,669x = 386,981 × 386,981
  4. Step 4: Simplify right side
    251,669x = 149,754,294,361
  5. Step 5: Solve for x
    x = 149,754,294,361/251,669
  6. Step 6: Final answer
    x = 595,044.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.