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Finding the Third Proportional to 57,070.83 and 81,120.23

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Solution

The third proportional to 57,070.83 and 81,120.23 is: 115,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,070.83 : 81,120.23 = 81,120.23 : x
  2. Step 2: Convert to fraction form
    57,070.83/81,120.23 = 81,120.23/x
  3. Step 3: Cross multiply
    57,070.83x = 81,120.23 × 81,120.23
  4. Step 4: Simplify right side
    57,070.83x = 6,580,492,425.05
  5. Step 5: Solve for x
    x = 6,580,492,425.05/57,070.83
  6. Step 6: Final answer
    x = 115,303.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.