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Finding the Third Proportional to 57,410 and 83,846.50

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Solution

The third proportional to 57,410 and 83,846.50 is: 122,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,410 : 83,846.50 = 83,846.50 : x
  2. Step 2: Convert to fraction form
    57,410/83,846.50 = 83,846.50/x
  3. Step 3: Cross multiply
    57,410x = 83,846.50 × 83,846.50
  4. Step 4: Simplify right side
    57,410x = 7,030,235,562.25
  5. Step 5: Solve for x
    x = 7,030,235,562.25/57,410
  6. Step 6: Final answer
    x = 122,456.64

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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.