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Finding the Third Proportional to 280,166 and 424,461

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Solution

The third proportional to 280,166 and 424,461 is: 643,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,166 : 424,461 = 424,461 : x
  2. Step 2: Convert to fraction form
    280,166/424,461 = 424,461/x
  3. Step 3: Cross multiply
    280,166x = 424,461 × 424,461
  4. Step 4: Simplify right side
    280,166x = 180,167,140,521
  5. Step 5: Solve for x
    x = 180,167,140,521/280,166
  6. Step 6: Final answer
    x = 643,072.82

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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.