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Finding the Third Proportional to 872,140,724 and 1,340,540,456

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Solution

The third proportional to 872,140,724 and 1,340,540,456 is: 2,060,503,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,140,724 : 1,340,540,456 = 1,340,540,456 : x
  2. Step 2: Convert to fraction form
    872,140,724/1,340,540,456 = 1,340,540,456/x
  3. Step 3: Cross multiply
    872,140,724x = 1,340,540,456 × 1,340,540,456
  4. Step 4: Simplify right side
    872,140,724x = 1,797,048,714,172,687,872
  5. Step 5: Solve for x
    x = 1,797,048,714,172,687,872/872,140,724
  6. Step 6: Final answer
    x = 2,060,503,155.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.