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Finding the Third Proportional to 143,850 and 319,140

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Solution

The third proportional to 143,850 and 319,140 is: 708,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,850 : 319,140 = 319,140 : x
  2. Step 2: Convert to fraction form
    143,850/319,140 = 319,140/x
  3. Step 3: Cross multiply
    143,850x = 319,140 × 319,140
  4. Step 4: Simplify right side
    143,850x = 101,850,339,600
  5. Step 5: Solve for x
    x = 101,850,339,600/143,850
  6. Step 6: Final answer
    x = 708,031.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.