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Finding the Third Proportional to 22,666.50 and 49,710

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Solution

The third proportional to 22,666.50 and 49,710 is: 109,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666.50 : 49,710 = 49,710 : x
  2. Step 2: Convert to fraction form
    22,666.50/49,710 = 49,710/x
  3. Step 3: Cross multiply
    22,666.50x = 49,710 × 49,710
  4. Step 4: Simplify right side
    22,666.50x = 2,471,084,100
  5. Step 5: Solve for x
    x = 2,471,084,100/22,666.50
  6. Step 6: Final answer
    x = 109,019.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.