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Finding the Third Proportional to 108,306 and 260,916

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Solution

The third proportional to 108,306 and 260,916 is: 628,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,306 : 260,916 = 260,916 : x
  2. Step 2: Convert to fraction form
    108,306/260,916 = 260,916/x
  3. Step 3: Cross multiply
    108,306x = 260,916 × 260,916
  4. Step 4: Simplify right side
    108,306x = 68,077,159,056
  5. Step 5: Solve for x
    x = 68,077,159,056/108,306
  6. Step 6: Final answer
    x = 628,563.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.