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Finding the Third Proportional to 280,806 and 581,484

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Solution

The third proportional to 280,806 and 581,484 is: 1,204,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,806 : 581,484 = 581,484 : x
  2. Step 2: Convert to fraction form
    280,806/581,484 = 581,484/x
  3. Step 3: Cross multiply
    280,806x = 581,484 × 581,484
  4. Step 4: Simplify right side
    280,806x = 338,123,642,256
  5. Step 5: Solve for x
    x = 338,123,642,256/280,806
  6. Step 6: Final answer
    x = 1,204,118.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.