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Finding the Third Proportional to 108,445 and 234,985

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Solution

The third proportional to 108,445 and 234,985 is: 509,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,445 : 234,985 = 234,985 : x
  2. Step 2: Convert to fraction form
    108,445/234,985 = 234,985/x
  3. Step 3: Cross multiply
    108,445x = 234,985 × 234,985
  4. Step 4: Simplify right side
    108,445x = 55,217,950,225
  5. Step 5: Solve for x
    x = 55,217,950,225/108,445
  6. Step 6: Final answer
    x = 509,179.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.