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Finding the Third Proportional to 10,695.80 and 18,897.05

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Solution

The third proportional to 10,695.80 and 18,897.05 is: 33,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.80 : 18,897.05 = 18,897.05 : x
  2. Step 2: Convert to fraction form
    10,695.80/18,897.05 = 18,897.05/x
  3. Step 3: Cross multiply
    10,695.80x = 18,897.05 × 18,897.05
  4. Step 4: Simplify right side
    10,695.80x = 357,098,380.60
  5. Step 5: Solve for x
    x = 357,098,380.60/10,695.80
  6. Step 6: Final answer
    x = 33,386.80

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.