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Finding the Third Proportional to 108,605 and 230,319

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Solution

The third proportional to 108,605 and 230,319 is: 488,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,605 : 230,319 = 230,319 : x
  2. Step 2: Convert to fraction form
    108,605/230,319 = 230,319/x
  3. Step 3: Cross multiply
    108,605x = 230,319 × 230,319
  4. Step 4: Simplify right side
    108,605x = 53,046,841,761
  5. Step 5: Solve for x
    x = 53,046,841,761/108,605
  6. Step 6: Final answer
    x = 488,438.30

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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.