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Finding the Third Proportional to 221,616 and 301,320

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Solution

The third proportional to 221,616 and 301,320 is: 409,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,616 : 301,320 = 301,320 : x
  2. Step 2: Convert to fraction form
    221,616/301,320 = 301,320/x
  3. Step 3: Cross multiply
    221,616x = 301,320 × 301,320
  4. Step 4: Simplify right side
    221,616x = 90,793,742,400
  5. Step 5: Solve for x
    x = 90,793,742,400/221,616
  6. Step 6: Final answer
    x = 409,689.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.