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Finding the Third Proportional to 5,580 and 12,160.50

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Solution

The third proportional to 5,580 and 12,160.50 is: 26,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580 : 12,160.50 = 12,160.50 : x
  2. Step 2: Convert to fraction form
    5,580/12,160.50 = 12,160.50/x
  3. Step 3: Cross multiply
    5,580x = 12,160.50 × 12,160.50
  4. Step 4: Simplify right side
    5,580x = 147,877,760.25
  5. Step 5: Solve for x
    x = 147,877,760.25/5,580
  6. Step 6: Final answer
    x = 26,501.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.