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Finding the Third Proportional to 70,031 and 153,668

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Solution

The third proportional to 70,031 and 153,668 is: 337,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,031 : 153,668 = 153,668 : x
  2. Step 2: Convert to fraction form
    70,031/153,668 = 153,668/x
  3. Step 3: Cross multiply
    70,031x = 153,668 × 153,668
  4. Step 4: Simplify right side
    70,031x = 23,613,854,224
  5. Step 5: Solve for x
    x = 23,613,854,224/70,031
  6. Step 6: Final answer
    x = 337,191.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.