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Finding the Third Proportional to 5,580 and 9,690

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Solution

The third proportional to 5,580 and 9,690 is: 16,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580 : 9,690 = 9,690 : x
  2. Step 2: Convert to fraction form
    5,580/9,690 = 9,690/x
  3. Step 3: Cross multiply
    5,580x = 9,690 × 9,690
  4. Step 4: Simplify right side
    5,580x = 93,896,100
  5. Step 5: Solve for x
    x = 93,896,100/5,580
  6. Step 6: Final answer
    x = 16,827.26

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.