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Finding the Third Proportional to 72,770.50 and 109,426

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Solution

The third proportional to 72,770.50 and 109,426 is: 164,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,770.50 : 109,426 = 109,426 : x
  2. Step 2: Convert to fraction form
    72,770.50/109,426 = 109,426/x
  3. Step 3: Cross multiply
    72,770.50x = 109,426 × 109,426
  4. Step 4: Simplify right side
    72,770.50x = 11,974,049,476
  5. Step 5: Solve for x
    x = 11,974,049,476/72,770.50
  6. Step 6: Final answer
    x = 164,545.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.