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Finding the Third Proportional to 143,001 and 210,370.50

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Solution

The third proportional to 143,001 and 210,370.50 is: 309,478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,001 : 210,370.50 = 210,370.50 : x
  2. Step 2: Convert to fraction form
    143,001/210,370.50 = 210,370.50/x
  3. Step 3: Cross multiply
    143,001x = 210,370.50 × 210,370.50
  4. Step 4: Simplify right side
    143,001x = 44,255,747,270.25
  5. Step 5: Solve for x
    x = 44,255,747,270.25/143,001
  6. Step 6: Final answer
    x = 309,478.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.