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Finding the Third Proportional to 128,552 and 266,041

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Solution

The third proportional to 128,552 and 266,041 is: 550,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,552 : 266,041 = 266,041 : x
  2. Step 2: Convert to fraction form
    128,552/266,041 = 266,041/x
  3. Step 3: Cross multiply
    128,552x = 266,041 × 266,041
  4. Step 4: Simplify right side
    128,552x = 70,777,813,681
  5. Step 5: Solve for x
    x = 70,777,813,681/128,552
  6. Step 6: Final answer
    x = 550,577.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.