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Finding the Third Proportional to 71,526 and 108,209

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Solution

The third proportional to 71,526 and 108,209 is: 163,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,526 : 108,209 = 108,209 : x
  2. Step 2: Convert to fraction form
    71,526/108,209 = 108,209/x
  3. Step 3: Cross multiply
    71,526x = 108,209 × 108,209
  4. Step 4: Simplify right side
    71,526x = 11,709,187,681
  5. Step 5: Solve for x
    x = 11,709,187,681/71,526
  6. Step 6: Final answer
    x = 163,705.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.