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Finding the Third Proportional to 274,659 and 424,433

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Solution

The third proportional to 274,659 and 424,433 is: 655,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,659 : 424,433 = 424,433 : x
  2. Step 2: Convert to fraction form
    274,659/424,433 = 424,433/x
  3. Step 3: Cross multiply
    274,659x = 424,433 × 424,433
  4. Step 4: Simplify right side
    274,659x = 180,143,371,489
  5. Step 5: Solve for x
    x = 180,143,371,489/274,659
  6. Step 6: Final answer
    x = 655,880.10

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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.