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Finding the Third Proportional to 74,272 and 154,663

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Solution

The third proportional to 74,272 and 154,663 is: 322,068.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,272 : 154,663 = 154,663 : x
  2. Step 2: Convert to fraction form
    74,272/154,663 = 154,663/x
  3. Step 3: Cross multiply
    74,272x = 154,663 × 154,663
  4. Step 4: Simplify right side
    74,272x = 23,920,643,569
  5. Step 5: Solve for x
    x = 23,920,643,569/74,272
  6. Step 6: Final answer
    x = 322,068.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.