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Finding the Third Proportional to 284,072 and 431,292

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Solution

The third proportional to 284,072 and 431,292 is: 654,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,072 : 431,292 = 431,292 : x
  2. Step 2: Convert to fraction form
    284,072/431,292 = 431,292/x
  3. Step 3: Cross multiply
    284,072x = 431,292 × 431,292
  4. Step 4: Simplify right side
    284,072x = 186,012,789,264
  5. Step 5: Solve for x
    x = 186,012,789,264/284,072
  6. Step 6: Final answer
    x = 654,808.60

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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.