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Finding the Third Proportional to 638,880 and 990,612

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Solution

The third proportional to 638,880 and 990,612 is: 1,535,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,880 : 990,612 = 990,612 : x
  2. Step 2: Convert to fraction form
    638,880/990,612 = 990,612/x
  3. Step 3: Cross multiply
    638,880x = 990,612 × 990,612
  4. Step 4: Simplify right side
    638,880x = 981,312,134,544
  5. Step 5: Solve for x
    x = 981,312,134,544/638,880
  6. Step 6: Final answer
    x = 1,535,988.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.