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Finding the Third Proportional to 400,900 and 871,748

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Solution

The third proportional to 400,900 and 871,748 is: 1,895,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,900 : 871,748 = 871,748 : x
  2. Step 2: Convert to fraction form
    400,900/871,748 = 871,748/x
  3. Step 3: Cross multiply
    400,900x = 871,748 × 871,748
  4. Step 4: Simplify right side
    400,900x = 759,944,575,504
  5. Step 5: Solve for x
    x = 759,944,575,504/400,900
  6. Step 6: Final answer
    x = 1,895,596.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.