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Finding the Third Proportional to 284,461 and 428,491

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Solution

The third proportional to 284,461 and 428,491 is: 645,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,461 : 428,491 = 428,491 : x
  2. Step 2: Convert to fraction form
    284,461/428,491 = 428,491/x
  3. Step 3: Cross multiply
    284,461x = 428,491 × 428,491
  4. Step 4: Simplify right side
    284,461x = 183,604,537,081
  5. Step 5: Solve for x
    x = 183,604,537,081/284,461
  6. Step 6: Final answer
    x = 645,447.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.