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Finding the Third Proportional to 349,807.50 and 540,171

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Solution

The third proportional to 349,807.50 and 540,171 is: 834,129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,807.50 : 540,171 = 540,171 : x
  2. Step 2: Convert to fraction form
    349,807.50/540,171 = 540,171/x
  3. Step 3: Cross multiply
    349,807.50x = 540,171 × 540,171
  4. Step 4: Simplify right side
    349,807.50x = 291,784,709,241
  5. Step 5: Solve for x
    x = 291,784,709,241/349,807.50
  6. Step 6: Final answer
    x = 834,129.37

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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.