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Finding the Third Proportional to 280,484 and 600,820

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Solution

The third proportional to 280,484 and 600,820 is: 1,287,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,484 : 600,820 = 600,820 : x
  2. Step 2: Convert to fraction form
    280,484/600,820 = 600,820/x
  3. Step 3: Cross multiply
    280,484x = 600,820 × 600,820
  4. Step 4: Simplify right side
    280,484x = 360,984,672,400
  5. Step 5: Solve for x
    x = 360,984,672,400/280,484
  6. Step 6: Final answer
    x = 1,287,006.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.