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Finding the Third Proportional to 142,802 and 307,668

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Solution

The third proportional to 142,802 and 307,668 is: 662,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,802 : 307,668 = 307,668 : x
  2. Step 2: Convert to fraction form
    142,802/307,668 = 307,668/x
  3. Step 3: Cross multiply
    142,802x = 307,668 × 307,668
  4. Step 4: Simplify right side
    142,802x = 94,659,598,224
  5. Step 5: Solve for x
    x = 94,659,598,224/142,802
  6. Step 6: Final answer
    x = 662,873.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.