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Finding the Third Proportional to 415,924.88 and 669,629.53

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Solution

The third proportional to 415,924.88 and 669,629.53 is: 1,078,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,924.88 : 669,629.53 = 669,629.53 : x
  2. Step 2: Convert to fraction form
    415,924.88/669,629.53 = 669,629.53/x
  3. Step 3: Cross multiply
    415,924.88x = 669,629.53 × 669,629.53
  4. Step 4: Simplify right side
    415,924.88x = 448,403,709,122.10
  5. Step 5: Solve for x
    x = 448,403,709,122.10/415,924.88
  6. Step 6: Final answer
    x = 1,078,088.22

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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.