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Finding the Third Proportional to 102,566 and 221,535

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Solution

The third proportional to 102,566 and 221,535 is: 478,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,566 : 221,535 = 221,535 : x
  2. Step 2: Convert to fraction form
    102,566/221,535 = 221,535/x
  3. Step 3: Cross multiply
    102,566x = 221,535 × 221,535
  4. Step 4: Simplify right side
    102,566x = 49,077,756,225
  5. Step 5: Solve for x
    x = 49,077,756,225/102,566
  6. Step 6: Final answer
    x = 478,499.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.