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Finding the Third Proportional to 81,652,950 and 120,948,800.75

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Solution

The third proportional to 81,652,950 and 120,948,800.75 is: 179,155,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,652,950 : 120,948,800.75 = 120,948,800.75 : x
  2. Step 2: Convert to fraction form
    81,652,950/120,948,800.75 = 120,948,800.75/x
  3. Step 3: Cross multiply
    81,652,950x = 120,948,800.75 × 120,948,800.75
  4. Step 4: Simplify right side
    81,652,950x = 14,628,612,402,863,200
  5. Step 5: Solve for x
    x = 14,628,612,402,863,200/81,652,950
  6. Step 6: Final answer
    x = 179,155,957.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.