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Finding the Third Proportional to 349,899.75 and 540,313.88

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Solution

The third proportional to 349,899.75 and 540,313.88 is: 834,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,899.75 : 540,313.88 = 540,313.88 : x
  2. Step 2: Convert to fraction form
    349,899.75/540,313.88 = 540,313.88/x
  3. Step 3: Cross multiply
    349,899.75x = 540,313.88 × 540,313.88
  4. Step 4: Simplify right side
    349,899.75x = 291,939,083,517.52
  5. Step 5: Solve for x
    x = 291,939,083,517.52/349,899.75
  6. Step 6: Final answer
    x = 834,350.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.