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Finding the Third Proportional to 415,642.50 and 669,363.75

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Solution

The third proportional to 415,642.50 and 669,363.75 is: 1,077,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,642.50 : 669,363.75 = 669,363.75 : x
  2. Step 2: Convert to fraction form
    415,642.50/669,363.75 = 669,363.75/x
  3. Step 3: Cross multiply
    415,642.50x = 669,363.75 × 669,363.75
  4. Step 4: Simplify right side
    415,642.50x = 448,047,829,814.06
  5. Step 5: Solve for x
    x = 448,047,829,814.06/415,642.50
  6. Step 6: Final answer
    x = 1,077,964.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.