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Finding the Third Proportional to 10,056.19 and 15,064.78

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Solution

The third proportional to 10,056.19 and 15,064.78 is: 22,567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.19 : 15,064.78 = 15,064.78 : x
  2. Step 2: Convert to fraction form
    10,056.19/15,064.78 = 15,064.78/x
  3. Step 3: Cross multiply
    10,056.19x = 15,064.78 × 15,064.78
  4. Step 4: Simplify right side
    10,056.19x = 226,947,634.11
  5. Step 5: Solve for x
    x = 226,947,634.11/10,056.19
  6. Step 6: Final answer
    x = 22,567.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.