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Finding the Third Proportional to 31,239,159 and 67,278,900

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Solution

The third proportional to 31,239,159 and 67,278,900 is: 144,896,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,239,159 : 67,278,900 = 67,278,900 : x
  2. Step 2: Convert to fraction form
    31,239,159/67,278,900 = 67,278,900/x
  3. Step 3: Cross multiply
    31,239,159x = 67,278,900 × 67,278,900
  4. Step 4: Simplify right side
    31,239,159x = 4,526,450,385,210,000
  5. Step 5: Solve for x
    x = 4,526,450,385,210,000/31,239,159
  6. Step 6: Final answer
    x = 144,896,678.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.