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Finding the Third Proportional to 72,410 and 110,769

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Solution

The third proportional to 72,410 and 110,769 is: 169,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,410 : 110,769 = 110,769 : x
  2. Step 2: Convert to fraction form
    72,410/110,769 = 110,769/x
  3. Step 3: Cross multiply
    72,410x = 110,769 × 110,769
  4. Step 4: Simplify right side
    72,410x = 12,269,771,361
  5. Step 5: Solve for x
    x = 12,269,771,361/72,410
  6. Step 6: Final answer
    x = 169,448.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.