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Finding the Third Proportional to 171,306 and 263,511

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Solution

The third proportional to 171,306 and 263,511 is: 405,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,306 : 263,511 = 263,511 : x
  2. Step 2: Convert to fraction form
    171,306/263,511 = 263,511/x
  3. Step 3: Cross multiply
    171,306x = 263,511 × 263,511
  4. Step 4: Simplify right side
    171,306x = 69,438,047,121
  5. Step 5: Solve for x
    x = 69,438,047,121/171,306
  6. Step 6: Final answer
    x = 405,345.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.