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Finding the Third Proportional to 461,737,224 and 1,015,820,280

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Solution

The third proportional to 461,737,224 and 1,015,820,280 is: 2,234,801,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,737,224 : 1,015,820,280 = 1,015,820,280 : x
  2. Step 2: Convert to fraction form
    461,737,224/1,015,820,280 = 1,015,820,280/x
  3. Step 3: Cross multiply
    461,737,224x = 1,015,820,280 × 1,015,820,280
  4. Step 4: Simplify right side
    461,737,224x = 1,031,890,841,259,278,336
  5. Step 5: Solve for x
    x = 1,031,890,841,259,278,336/461,737,224
  6. Step 6: Final answer
    x = 2,234,801,067.85

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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.