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Finding the Third Proportional to 419,301 and 558,642

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Solution

The third proportional to 419,301 and 558,642 is: 744,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,301 : 558,642 = 558,642 : x
  2. Step 2: Convert to fraction form
    419,301/558,642 = 558,642/x
  3. Step 3: Cross multiply
    419,301x = 558,642 × 558,642
  4. Step 4: Simplify right side
    419,301x = 312,080,884,164
  5. Step 5: Solve for x
    x = 312,080,884,164/419,301
  6. Step 6: Final answer
    x = 744,288.43

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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.