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Finding the Third Proportional to 156,945 and 386,987

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Solution

The third proportional to 156,945 and 386,987 is: 954,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,945 : 386,987 = 386,987 : x
  2. Step 2: Convert to fraction form
    156,945/386,987 = 386,987/x
  3. Step 3: Cross multiply
    156,945x = 386,987 × 386,987
  4. Step 4: Simplify right side
    156,945x = 149,758,938,169
  5. Step 5: Solve for x
    x = 149,758,938,169/156,945
  6. Step 6: Final answer
    x = 954,212.87

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.