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Finding the Third Proportional to 143,643.75 and 291,391.50

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Solution

The third proportional to 143,643.75 and 291,391.50 is: 591,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,643.75 : 291,391.50 = 291,391.50 : x
  2. Step 2: Convert to fraction form
    143,643.75/291,391.50 = 291,391.50/x
  3. Step 3: Cross multiply
    143,643.75x = 291,391.50 × 291,391.50
  4. Step 4: Simplify right side
    143,643.75x = 84,909,006,272.25
  5. Step 5: Solve for x
    x = 84,909,006,272.25/143,643.75
  6. Step 6: Final answer
    x = 591,108.25

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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.