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Finding the Third Proportional to 415,723.50 and 669,525.75

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Solution

The third proportional to 415,723.50 and 669,525.75 is: 1,078,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,723.50 : 669,525.75 = 669,525.75 : x
  2. Step 2: Convert to fraction form
    415,723.50/669,525.75 = 669,525.75/x
  3. Step 3: Cross multiply
    415,723.50x = 669,525.75 × 669,525.75
  4. Step 4: Simplify right side
    415,723.50x = 448,264,729,913.06
  5. Step 5: Solve for x
    x = 448,264,729,913.06/415,723.50
  6. Step 6: Final answer
    x = 1,078,276.14

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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.