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Finding the Third Proportional to 6,457.65 and 9,974.46

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Solution

The third proportional to 6,457.65 and 9,974.46 is: 15,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.65 : 9,974.46 = 9,974.46 : x
  2. Step 2: Convert to fraction form
    6,457.65/9,974.46 = 9,974.46/x
  3. Step 3: Cross multiply
    6,457.65x = 9,974.46 × 9,974.46
  4. Step 4: Simplify right side
    6,457.65x = 99,489,947.70
  5. Step 5: Solve for x
    x = 99,489,947.70/6,457.65
  6. Step 6: Final answer
    x = 15,406.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.