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Finding the Third Proportional to 284,120 and 431,364

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Solution

The third proportional to 284,120 and 431,364 is: 654,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,120 : 431,364 = 431,364 : x
  2. Step 2: Convert to fraction form
    284,120/431,364 = 431,364/x
  3. Step 3: Cross multiply
    284,120x = 431,364 × 431,364
  4. Step 4: Simplify right side
    284,120x = 186,074,900,496
  5. Step 5: Solve for x
    x = 186,074,900,496/284,120
  6. Step 6: Final answer
    x = 654,916.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.