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Finding the Third Proportional to 143,739 and 302,371

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Solution

The third proportional to 143,739 and 302,371 is: 636,071.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,739 : 302,371 = 302,371 : x
  2. Step 2: Convert to fraction form
    143,739/302,371 = 302,371/x
  3. Step 3: Cross multiply
    143,739x = 302,371 × 302,371
  4. Step 4: Simplify right side
    143,739x = 91,428,221,641
  5. Step 5: Solve for x
    x = 91,428,221,641/143,739
  6. Step 6: Final answer
    x = 636,071.08

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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.