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Finding the Third Proportional to 432,340 and 615,876

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Solution

The third proportional to 432,340 and 615,876 is: 877,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,340 : 615,876 = 615,876 : x
  2. Step 2: Convert to fraction form
    432,340/615,876 = 615,876/x
  3. Step 3: Cross multiply
    432,340x = 615,876 × 615,876
  4. Step 4: Simplify right side
    432,340x = 379,303,247,376
  5. Step 5: Solve for x
    x = 379,303,247,376/432,340
  6. Step 6: Final answer
    x = 877,326.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.