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Finding the Third Proportional to 103,679 and 221,572

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Solution

The third proportional to 103,679 and 221,572 is: 473,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,679 : 221,572 = 221,572 : x
  2. Step 2: Convert to fraction form
    103,679/221,572 = 221,572/x
  3. Step 3: Cross multiply
    103,679x = 221,572 × 221,572
  4. Step 4: Simplify right side
    103,679x = 49,094,151,184
  5. Step 5: Solve for x
    x = 49,094,151,184/103,679
  6. Step 6: Final answer
    x = 473,520.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.