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Finding the Third Proportional to 143,709 and 302,301

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Solution

The third proportional to 143,709 and 302,301 is: 635,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,709 : 302,301 = 302,301 : x
  2. Step 2: Convert to fraction form
    143,709/302,301 = 302,301/x
  3. Step 3: Cross multiply
    143,709x = 302,301 × 302,301
  4. Step 4: Simplify right side
    143,709x = 91,385,894,601
  5. Step 5: Solve for x
    x = 91,385,894,601/143,709
  6. Step 6: Final answer
    x = 635,909.33

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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.