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Finding the Third Proportional to 5,457 and 12,346.50

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Solution

The third proportional to 5,457 and 12,346.50 is: 27,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457 : 12,346.50 = 12,346.50 : x
  2. Step 2: Convert to fraction form
    5,457/12,346.50 = 12,346.50/x
  3. Step 3: Cross multiply
    5,457x = 12,346.50 × 12,346.50
  4. Step 4: Simplify right side
    5,457x = 152,436,062.25
  5. Step 5: Solve for x
    x = 152,436,062.25/5,457
  6. Step 6: Final answer
    x = 27,934.04

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.