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Finding the Third Proportional to 100,740 and 220,584

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Solution

The third proportional to 100,740 and 220,584 is: 482,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,740 : 220,584 = 220,584 : x
  2. Step 2: Convert to fraction form
    100,740/220,584 = 220,584/x
  3. Step 3: Cross multiply
    100,740x = 220,584 × 220,584
  4. Step 4: Simplify right side
    100,740x = 48,657,301,056
  5. Step 5: Solve for x
    x = 48,657,301,056/100,740
  6. Step 6: Final answer
    x = 482,998.82

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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.