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Finding the Third Proportional to 156,946 and 386,986

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Solution

The third proportional to 156,946 and 386,986 is: 954,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,946 : 386,986 = 386,986 : x
  2. Step 2: Convert to fraction form
    156,946/386,986 = 386,986/x
  3. Step 3: Cross multiply
    156,946x = 386,986 × 386,986
  4. Step 4: Simplify right side
    156,946x = 149,758,164,196
  5. Step 5: Solve for x
    x = 149,758,164,196/156,946
  6. Step 6: Final answer
    x = 954,201.85

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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.