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Finding the Third Proportional to 120,155,625,012 and 250,199,553,336

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Solution

The third proportional to 120,155,625,012 and 250,199,553,336 is: 520,989,479,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,155,625,012 : 250,199,553,336 = 250,199,553,336 : x
  2. Step 2: Convert to fraction form
    120,155,625,012/250,199,553,336 = 250,199,553,336/x
  3. Step 3: Cross multiply
    120,155,625,012x = 250,199,553,336 × 250,199,553,336
  4. Step 4: Simplify right side
    120,155,625,012x = 62,599,816,489,533,905,567,744
  5. Step 5: Solve for x
    x = 62,599,816,489,533,905,567,744/120,155,625,012
  6. Step 6: Final answer
    x = 520,989,479,129.94

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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.