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Finding the Third Proportional to 100,719 and 219,417

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Solution

The third proportional to 100,719 and 219,417 is: 478,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,719 : 219,417 = 219,417 : x
  2. Step 2: Convert to fraction form
    100,719/219,417 = 219,417/x
  3. Step 3: Cross multiply
    100,719x = 219,417 × 219,417
  4. Step 4: Simplify right side
    100,719x = 48,143,819,889
  5. Step 5: Solve for x
    x = 48,143,819,889/100,719
  6. Step 6: Final answer
    x = 478,001.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.