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Finding the Third Proportional to 85,659,680 and 130,497,112

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Solution

The third proportional to 85,659,680 and 130,497,112 is: 198,804,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,659,680 : 130,497,112 = 130,497,112 : x
  2. Step 2: Convert to fraction form
    85,659,680/130,497,112 = 130,497,112/x
  3. Step 3: Cross multiply
    85,659,680x = 130,497,112 × 130,497,112
  4. Step 4: Simplify right side
    85,659,680x = 17,029,496,240,340,544
  5. Step 5: Solve for x
    x = 17,029,496,240,340,544/85,659,680
  6. Step 6: Final answer
    x = 198,804,107.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.