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Finding the Third Proportional to 74,460 and 159,308

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Solution

The third proportional to 74,460 and 159,308 is: 340,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,460 : 159,308 = 159,308 : x
  2. Step 2: Convert to fraction form
    74,460/159,308 = 159,308/x
  3. Step 3: Cross multiply
    74,460x = 159,308 × 159,308
  4. Step 4: Simplify right side
    74,460x = 25,379,038,864
  5. Step 5: Solve for x
    x = 25,379,038,864/74,460
  6. Step 6: Final answer
    x = 340,841.24

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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.