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Finding the Third Proportional to 147,880 and 229,405

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Solution

The third proportional to 147,880 and 229,405 is: 355,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,880 : 229,405 = 229,405 : x
  2. Step 2: Convert to fraction form
    147,880/229,405 = 229,405/x
  3. Step 3: Cross multiply
    147,880x = 229,405 × 229,405
  4. Step 4: Simplify right side
    147,880x = 52,626,654,025
  5. Step 5: Solve for x
    x = 52,626,654,025/147,880
  6. Step 6: Final answer
    x = 355,874.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.