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Finding the Third Proportional to 56,783.50 and 82,710.44

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Solution

The third proportional to 56,783.50 and 82,710.44 is: 120,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,783.50 : 82,710.44 = 82,710.44 : x
  2. Step 2: Convert to fraction form
    56,783.50/82,710.44 = 82,710.44/x
  3. Step 3: Cross multiply
    56,783.50x = 82,710.44 × 82,710.44
  4. Step 4: Simplify right side
    56,783.50x = 6,841,016,471.44
  5. Step 5: Solve for x
    x = 6,841,016,471.44/56,783.50
  6. Step 6: Final answer
    x = 120,475.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.