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Finding the Third Proportional to 132,344,744 and 200,219,246.50

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Solution

The third proportional to 132,344,744 and 200,219,246.50 is: 302,903,957.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,344,744 : 200,219,246.50 = 200,219,246.50 : x
  2. Step 2: Convert to fraction form
    132,344,744/200,219,246.50 = 200,219,246.50/x
  3. Step 3: Cross multiply
    132,344,744x = 200,219,246.50 × 200,219,246.50
  4. Step 4: Simplify right side
    132,344,744x = 40,087,746,669,027,760
  5. Step 5: Solve for x
    x = 40,087,746,669,027,760/132,344,744
  6. Step 6: Final answer
    x = 302,903,957.18

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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.