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Finding the Third Proportional to 76,980,013.88 and 159,416,641.69

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Solution

The third proportional to 76,980,013.88 and 159,416,641.69 is: 330,133,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,980,013.88 : 159,416,641.69 = 159,416,641.69 : x
  2. Step 2: Convert to fraction form
    76,980,013.88/159,416,641.69 = 159,416,641.69/x
  3. Step 3: Cross multiply
    76,980,013.88x = 159,416,641.69 × 159,416,641.69
  4. Step 4: Simplify right side
    76,980,013.88x = 25,413,665,646,920,764
  5. Step 5: Solve for x
    x = 25,413,665,646,920,764/76,980,013.88
  6. Step 6: Final answer
    x = 330,133,295.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.