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Finding the Third Proportional to 423,376 and 655,960

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Solution

The third proportional to 423,376 and 655,960 is: 1,016,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,376 : 655,960 = 655,960 : x
  2. Step 2: Convert to fraction form
    423,376/655,960 = 655,960/x
  3. Step 3: Cross multiply
    423,376x = 655,960 × 655,960
  4. Step 4: Simplify right side
    423,376x = 430,283,521,600
  5. Step 5: Solve for x
    x = 430,283,521,600/423,376
  6. Step 6: Final answer
    x = 1,016,315.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.