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Finding the Third Proportional to 5,088 and 9,406.50

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Solution

The third proportional to 5,088 and 9,406.50 is: 17,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088 : 9,406.50 = 9,406.50 : x
  2. Step 2: Convert to fraction form
    5,088/9,406.50 = 9,406.50/x
  3. Step 3: Cross multiply
    5,088x = 9,406.50 × 9,406.50
  4. Step 4: Simplify right side
    5,088x = 88,482,242.25
  5. Step 5: Solve for x
    x = 88,482,242.25/5,088
  6. Step 6: Final answer
    x = 17,390.38

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.