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Finding the Third Proportional to 101,280 and 219,840

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Solution

The third proportional to 101,280 and 219,840 is: 477,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,280 : 219,840 = 219,840 : x
  2. Step 2: Convert to fraction form
    101,280/219,840 = 219,840/x
  3. Step 3: Cross multiply
    101,280x = 219,840 × 219,840
  4. Step 4: Simplify right side
    101,280x = 48,329,625,600
  5. Step 5: Solve for x
    x = 48,329,625,600/101,280
  6. Step 6: Final answer
    x = 477,188.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.