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Finding the Third Proportional to 403,781,981 and 878,422,762

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Solution

The third proportional to 403,781,981 and 878,422,762 is: 1,910,997,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,781,981 : 878,422,762 = 878,422,762 : x
  2. Step 2: Convert to fraction form
    403,781,981/878,422,762 = 878,422,762/x
  3. Step 3: Cross multiply
    403,781,981x = 878,422,762 × 878,422,762
  4. Step 4: Simplify right side
    403,781,981x = 771,626,548,799,708,672
  5. Step 5: Solve for x
    x = 771,626,548,799,708,672/403,781,981
  6. Step 6: Final answer
    x = 1,910,997,976.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.