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Finding the Third Proportional to 143,739 and 302,373

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Solution

The third proportional to 143,739 and 302,373 is: 636,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,739 : 302,373 = 302,373 : x
  2. Step 2: Convert to fraction form
    143,739/302,373 = 302,373/x
  3. Step 3: Cross multiply
    143,739x = 302,373 × 302,373
  4. Step 4: Simplify right side
    143,739x = 91,429,431,129
  5. Step 5: Solve for x
    x = 91,429,431,129/143,739
  6. Step 6: Final answer
    x = 636,079.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.