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Finding the Third Proportional to 292,217 and 395,989

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Solution

The third proportional to 292,217 and 395,989 is: 536,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,217 : 395,989 = 395,989 : x
  2. Step 2: Convert to fraction form
    292,217/395,989 = 395,989/x
  3. Step 3: Cross multiply
    292,217x = 395,989 × 395,989
  4. Step 4: Simplify right side
    292,217x = 156,807,288,121
  5. Step 5: Solve for x
    x = 156,807,288,121/292,217
  6. Step 6: Final answer
    x = 536,612.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.