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Finding the Third Proportional to 521,577 and 1,100,128.50

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Solution

The third proportional to 521,577 and 1,100,128.50 is: 2,320,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,577 : 1,100,128.50 = 1,100,128.50 : x
  2. Step 2: Convert to fraction form
    521,577/1,100,128.50 = 1,100,128.50/x
  3. Step 3: Cross multiply
    521,577x = 1,100,128.50 × 1,100,128.50
  4. Step 4: Simplify right side
    521,577x = 1,210,282,716,512.25
  5. Step 5: Solve for x
    x = 1,210,282,716,512.25/521,577
  6. Step 6: Final answer
    x = 2,320,429.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.