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Finding the Third Proportional to 274,660 and 424,434

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Solution

The third proportional to 274,660 and 424,434 is: 655,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,660 : 424,434 = 424,434 : x
  2. Step 2: Convert to fraction form
    274,660/424,434 = 424,434/x
  3. Step 3: Cross multiply
    274,660x = 424,434 × 424,434
  4. Step 4: Simplify right side
    274,660x = 180,144,220,356
  5. Step 5: Solve for x
    x = 180,144,220,356/274,660
  6. Step 6: Final answer
    x = 655,880.80

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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.