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Finding the Third Proportional to 143,658.75 and 291,418.50

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Solution

The third proportional to 143,658.75 and 291,418.50 is: 591,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,658.75 : 291,418.50 = 291,418.50 : x
  2. Step 2: Convert to fraction form
    143,658.75/291,418.50 = 291,418.50/x
  3. Step 3: Cross multiply
    143,658.75x = 291,418.50 × 291,418.50
  4. Step 4: Simplify right side
    143,658.75x = 84,924,742,142.25
  5. Step 5: Solve for x
    x = 84,924,742,142.25/143,658.75
  6. Step 6: Final answer
    x = 591,156.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.