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Finding the Third Proportional to 142,274 and 306,598

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Solution

The third proportional to 142,274 and 306,598 is: 660,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,274 : 306,598 = 306,598 : x
  2. Step 2: Convert to fraction form
    142,274/306,598 = 306,598/x
  3. Step 3: Cross multiply
    142,274x = 306,598 × 306,598
  4. Step 4: Simplify right side
    142,274x = 94,002,333,604
  5. Step 5: Solve for x
    x = 94,002,333,604/142,274
  6. Step 6: Final answer
    x = 660,713.37

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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.