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Finding the Third Proportional to 274,658 and 424,431

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Solution

The third proportional to 274,658 and 424,431 is: 655,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,658 : 424,431 = 424,431 : x
  2. Step 2: Convert to fraction form
    274,658/424,431 = 424,431/x
  3. Step 3: Cross multiply
    274,658x = 424,431 × 424,431
  4. Step 4: Simplify right side
    274,658x = 180,141,673,761
  5. Step 5: Solve for x
    x = 180,141,673,761/274,658
  6. Step 6: Final answer
    x = 655,876.30

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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.