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Finding the Third Proportional to 52,894,733 and 81,735,848

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Solution

The third proportional to 52,894,733 and 81,735,848 is: 126,302,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,894,733 : 81,735,848 = 81,735,848 : x
  2. Step 2: Convert to fraction form
    52,894,733/81,735,848 = 81,735,848/x
  3. Step 3: Cross multiply
    52,894,733x = 81,735,848 × 81,735,848
  4. Step 4: Simplify right side
    52,894,733x = 6,680,748,848,279,104
  5. Step 5: Solve for x
    x = 6,680,748,848,279,104/52,894,733
  6. Step 6: Final answer
    x = 126,302,723.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.