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Finding the Third Proportional to 423,376 and 913,225

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Solution

The third proportional to 423,376 and 913,225 is: 1,969,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,376 : 913,225 = 913,225 : x
  2. Step 2: Convert to fraction form
    423,376/913,225 = 913,225/x
  3. Step 3: Cross multiply
    423,376x = 913,225 × 913,225
  4. Step 4: Simplify right side
    423,376x = 833,979,900,625
  5. Step 5: Solve for x
    x = 833,979,900,625/423,376
  6. Step 6: Final answer
    x = 1,969,832.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.