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Finding the Third Proportional to 34,256,947.50 and 80,842,914.75

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Solution

The third proportional to 34,256,947.50 and 80,842,914.75 is: 190,781,063.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,256,947.50 : 80,842,914.75 = 80,842,914.75 : x
  2. Step 2: Convert to fraction form
    34,256,947.50/80,842,914.75 = 80,842,914.75/x
  3. Step 3: Cross multiply
    34,256,947.50x = 80,842,914.75 × 80,842,914.75
  4. Step 4: Simplify right side
    34,256,947.50x = 6,535,576,865,275,768
  5. Step 5: Solve for x
    x = 6,535,576,865,275,768/34,256,947.50
  6. Step 6: Final answer
    x = 190,781,063.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.