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Finding the Third Proportional to 120,155,625,024 and 250,199,553,360

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Solution

The third proportional to 120,155,625,024 and 250,199,553,360 is: 520,989,479,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,155,625,024 : 250,199,553,360 = 250,199,553,360 : x
  2. Step 2: Convert to fraction form
    120,155,625,024/250,199,553,360 = 250,199,553,360/x
  3. Step 3: Cross multiply
    120,155,625,024x = 250,199,553,360 × 250,199,553,360
  4. Step 4: Simplify right side
    120,155,625,024x = 62,599,816,501,543,489,765,376
  5. Step 5: Solve for x
    x = 62,599,816,501,543,489,765,376/120,155,625,024
  6. Step 6: Final answer
    x = 520,989,479,177.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.