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Finding the Third Proportional to 284,156 and 424,289

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Solution

The third proportional to 284,156 and 424,289 is: 633,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,156 : 424,289 = 424,289 : x
  2. Step 2: Convert to fraction form
    284,156/424,289 = 424,289/x
  3. Step 3: Cross multiply
    284,156x = 424,289 × 424,289
  4. Step 4: Simplify right side
    284,156x = 180,021,155,521
  5. Step 5: Solve for x
    x = 180,021,155,521/284,156
  6. Step 6: Final answer
    x = 633,529.31

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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.