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Finding the Third Proportional to 6,762 and 10,801.50

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Solution

The third proportional to 6,762 and 10,801.50 is: 17,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762 : 10,801.50 = 10,801.50 : x
  2. Step 2: Convert to fraction form
    6,762/10,801.50 = 10,801.50/x
  3. Step 3: Cross multiply
    6,762x = 10,801.50 × 10,801.50
  4. Step 4: Simplify right side
    6,762x = 116,672,402.25
  5. Step 5: Solve for x
    x = 116,672,402.25/6,762
  6. Step 6: Final answer
    x = 17,254.13

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.