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Finding the Third Proportional to 130,936,306 and 196,951,119

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Solution

The third proportional to 130,936,306 and 196,951,119 is: 296,248,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,936,306 : 196,951,119 = 196,951,119 : x
  2. Step 2: Convert to fraction form
    130,936,306/196,951,119 = 196,951,119/x
  3. Step 3: Cross multiply
    130,936,306x = 196,951,119 × 196,951,119
  4. Step 4: Simplify right side
    130,936,306x = 38,789,743,275,352,160
  5. Step 5: Solve for x
    x = 38,789,743,275,352,160/130,936,306
  6. Step 6: Final answer
    x = 296,248,950.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.