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Finding the Third Proportional to 669,406 and 1,471,490

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Solution

The third proportional to 669,406 and 1,471,490 is: 3,234,633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,406 : 1,471,490 = 1,471,490 : x
  2. Step 2: Convert to fraction form
    669,406/1,471,490 = 1,471,490/x
  3. Step 3: Cross multiply
    669,406x = 1,471,490 × 1,471,490
  4. Step 4: Simplify right side
    669,406x = 2,165,282,820,100
  5. Step 5: Solve for x
    x = 2,165,282,820,100/669,406
  6. Step 6: Final answer
    x = 3,234,633.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.