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Finding the Third Proportional to 74,460 and 159,306

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Solution

The third proportional to 74,460 and 159,306 is: 340,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,460 : 159,306 = 159,306 : x
  2. Step 2: Convert to fraction form
    74,460/159,306 = 159,306/x
  3. Step 3: Cross multiply
    74,460x = 159,306 × 159,306
  4. Step 4: Simplify right side
    74,460x = 25,378,401,636
  5. Step 5: Solve for x
    x = 25,378,401,636/74,460
  6. Step 6: Final answer
    x = 340,832.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.