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Finding the Third Proportional to 108,820 and 230,702

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Solution

The third proportional to 108,820 and 230,702 is: 489,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,820 : 230,702 = 230,702 : x
  2. Step 2: Convert to fraction form
    108,820/230,702 = 230,702/x
  3. Step 3: Cross multiply
    108,820x = 230,702 × 230,702
  4. Step 4: Simplify right side
    108,820x = 53,223,412,804
  5. Step 5: Solve for x
    x = 53,223,412,804/108,820
  6. Step 6: Final answer
    x = 489,095.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.