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Finding the Third Proportional to 656,833.50 and 989,947.13

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Solution

The third proportional to 656,833.50 and 989,947.13 is: 1,491,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,833.50 : 989,947.13 = 989,947.13 : x
  2. Step 2: Convert to fraction form
    656,833.50/989,947.13 = 989,947.13/x
  3. Step 3: Cross multiply
    656,833.50x = 989,947.13 × 989,947.13
  4. Step 4: Simplify right side
    656,833.50x = 979,995,310,295.77
  5. Step 5: Solve for x
    x = 979,995,310,295.77/656,833.50
  6. Step 6: Final answer
    x = 1,491,999.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.