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Finding the Third Proportional to 52,140,761 and 78,882,228

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Solution

The third proportional to 52,140,761 and 78,882,228 is: 119,338,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,140,761 : 78,882,228 = 78,882,228 : x
  2. Step 2: Convert to fraction form
    52,140,761/78,882,228 = 78,882,228/x
  3. Step 3: Cross multiply
    52,140,761x = 78,882,228 × 78,882,228
  4. Step 4: Simplify right side
    52,140,761x = 6,222,405,894,243,984
  5. Step 5: Solve for x
    x = 6,222,405,894,243,984/52,140,761
  6. Step 6: Final answer
    x = 119,338,609.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.