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Finding the Third Proportional to 13,132.83 and 19,652.77

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Solution

The third proportional to 13,132.83 and 19,652.77 is: 29,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.83 : 19,652.77 = 19,652.77 : x
  2. Step 2: Convert to fraction form
    13,132.83/19,652.77 = 19,652.77/x
  3. Step 3: Cross multiply
    13,132.83x = 19,652.77 × 19,652.77
  4. Step 4: Simplify right side
    13,132.83x = 386,231,196.71
  5. Step 5: Solve for x
    x = 386,231,196.71/13,132.83
  6. Step 6: Final answer
    x = 29,409.60

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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.