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Finding the Third Proportional to 218,959 and 478,814

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Solution

The third proportional to 218,959 and 478,814 is: 1,047,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,959 : 478,814 = 478,814 : x
  2. Step 2: Convert to fraction form
    218,959/478,814 = 478,814/x
  3. Step 3: Cross multiply
    218,959x = 478,814 × 478,814
  4. Step 4: Simplify right side
    218,959x = 229,262,846,596
  5. Step 5: Solve for x
    x = 229,262,846,596/218,959
  6. Step 6: Final answer
    x = 1,047,058.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.