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Finding the Third Proportional to 74,263 and 154,646

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Solution

The third proportional to 74,263 and 154,646 is: 322,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,263 : 154,646 = 154,646 : x
  2. Step 2: Convert to fraction form
    74,263/154,646 = 154,646/x
  3. Step 3: Cross multiply
    74,263x = 154,646 × 154,646
  4. Step 4: Simplify right side
    74,263x = 23,915,385,316
  5. Step 5: Solve for x
    x = 23,915,385,316/74,263
  6. Step 6: Final answer
    x = 322,036.35

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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.