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Finding the Third Proportional to 82,571,568.75 and 123,849,339.75

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Solution

The third proportional to 82,571,568.75 and 123,849,339.75 is: 185,761,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,571,568.75 : 123,849,339.75 = 123,849,339.75 : x
  2. Step 2: Convert to fraction form
    82,571,568.75/123,849,339.75 = 123,849,339.75/x
  3. Step 3: Cross multiply
    82,571,568.75x = 123,849,339.75 × 123,849,339.75
  4. Step 4: Simplify right side
    82,571,568.75x = 15,338,658,956,510,930
  5. Step 5: Solve for x
    x = 15,338,658,956,510,930/82,571,568.75
  6. Step 6: Final answer
    x = 185,761,990.34

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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.