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Finding the Third Proportional to 419,307 and 558,651

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Solution

The third proportional to 419,307 and 558,651 is: 744,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,307 : 558,651 = 558,651 : x
  2. Step 2: Convert to fraction form
    419,307/558,651 = 558,651/x
  3. Step 3: Cross multiply
    419,307x = 558,651 × 558,651
  4. Step 4: Simplify right side
    419,307x = 312,090,939,801
  5. Step 5: Solve for x
    x = 312,090,939,801/419,307
  6. Step 6: Final answer
    x = 744,301.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.