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Finding the Third Proportional to 403,781,832 and 878,422,464

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Solution

The third proportional to 403,781,832 and 878,422,464 is: 1,910,997,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,781,832 : 878,422,464 = 878,422,464 : x
  2. Step 2: Convert to fraction form
    403,781,832/878,422,464 = 878,422,464/x
  3. Step 3: Cross multiply
    403,781,832x = 878,422,464 × 878,422,464
  4. Step 4: Simplify right side
    403,781,832x = 771,626,025,259,831,296
  5. Step 5: Solve for x
    x = 771,626,025,259,831,296/403,781,832
  6. Step 6: Final answer
    x = 1,910,997,385.49

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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.