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Finding the Third Proportional to 274,664 and 424,439

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Solution

The third proportional to 274,664 and 424,439 is: 655,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,664 : 424,439 = 424,439 : x
  2. Step 2: Convert to fraction form
    274,664/424,439 = 424,439/x
  3. Step 3: Cross multiply
    274,664x = 424,439 × 424,439
  4. Step 4: Simplify right side
    274,664x = 180,148,464,721
  5. Step 5: Solve for x
    x = 180,148,464,721/274,664
  6. Step 6: Final answer
    x = 655,886.70

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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.