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Finding the Third Proportional to 31,239,051.75 and 67,278,678.75

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Solution

The third proportional to 31,239,051.75 and 67,278,678.75 is: 144,896,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,239,051.75 : 67,278,678.75 = 67,278,678.75 : x
  2. Step 2: Convert to fraction form
    31,239,051.75/67,278,678.75 = 67,278,678.75/x
  3. Step 3: Cross multiply
    31,239,051.75x = 67,278,678.75 × 67,278,678.75
  4. Step 4: Simplify right side
    31,239,051.75x = 4,526,420,614,345,702
  5. Step 5: Solve for x
    x = 4,526,420,614,345,702/31,239,051.75
  6. Step 6: Final answer
    x = 144,896,223.18

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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.