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Finding the Third Proportional to 143,445.38 and 315,200.25

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Solution

The third proportional to 143,445.38 and 315,200.25 is: 692,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,445.38 : 315,200.25 = 315,200.25 : x
  2. Step 2: Convert to fraction form
    143,445.38/315,200.25 = 315,200.25/x
  3. Step 3: Cross multiply
    143,445.38x = 315,200.25 × 315,200.25
  4. Step 4: Simplify right side
    143,445.38x = 99,351,197,600.06
  5. Step 5: Solve for x
    x = 99,351,197,600.06/143,445.38
  6. Step 6: Final answer
    x = 692,606.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.