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Finding the Third Proportional to 138,743,638,630 and 220,768,403,836

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Solution

The third proportional to 138,743,638,630 and 220,768,403,836 is: 351,285,930,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,743,638,630 : 220,768,403,836 = 220,768,403,836 : x
  2. Step 2: Convert to fraction form
    138,743,638,630/220,768,403,836 = 220,768,403,836/x
  3. Step 3: Cross multiply
    138,743,638,630x = 220,768,403,836 × 220,768,403,836
  4. Step 4: Simplify right side
    138,743,638,630x = 48,738,688,132,295,180,681,216
  5. Step 5: Solve for x
    x = 48,738,688,132,295,180,681,216/138,743,638,630
  6. Step 6: Final answer
    x = 351,285,930,032.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.