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Finding the Third Proportional to 311,166 and 480,569

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Solution

The third proportional to 311,166 and 480,569 is: 742,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,166 : 480,569 = 480,569 : x
  2. Step 2: Convert to fraction form
    311,166/480,569 = 480,569/x
  3. Step 3: Cross multiply
    311,166x = 480,569 × 480,569
  4. Step 4: Simplify right side
    311,166x = 230,946,563,761
  5. Step 5: Solve for x
    x = 230,946,563,761/311,166
  6. Step 6: Final answer
    x = 742,197.30

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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.