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Finding the Third Proportional to 53,406.56 and 83,025.84

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Solution

The third proportional to 53,406.56 and 83,025.84 is: 129,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,406.56 : 83,025.84 = 83,025.84 : x
  2. Step 2: Convert to fraction form
    53,406.56/83,025.84 = 83,025.84/x
  3. Step 3: Cross multiply
    53,406.56x = 83,025.84 × 83,025.84
  4. Step 4: Simplify right side
    53,406.56x = 6,893,290,730.40
  5. Step 5: Solve for x
    x = 6,893,290,730.40/53,406.56
  6. Step 6: Final answer
    x = 129,071.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.