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Finding the Third Proportional to 284,180 and 424,320

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Solution

The third proportional to 284,180 and 424,320 is: 633,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,180 : 424,320 = 424,320 : x
  2. Step 2: Convert to fraction form
    284,180/424,320 = 424,320/x
  3. Step 3: Cross multiply
    284,180x = 424,320 × 424,320
  4. Step 4: Simplify right side
    284,180x = 180,047,462,400
  5. Step 5: Solve for x
    x = 180,047,462,400/284,180
  6. Step 6: Final answer
    x = 633,568.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.