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Finding the Third Proportional to 143,853 and 319,146

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Solution

The third proportional to 143,853 and 319,146 is: 708,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,853 : 319,146 = 319,146 : x
  2. Step 2: Convert to fraction form
    143,853/319,146 = 319,146/x
  3. Step 3: Cross multiply
    143,853x = 319,146 × 319,146
  4. Step 4: Simplify right side
    143,853x = 101,854,169,316
  5. Step 5: Solve for x
    x = 101,854,169,316/143,853
  6. Step 6: Final answer
    x = 708,043.41

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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.