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Finding the Third Proportional to 311,076 and 480,354

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Solution

The third proportional to 311,076 and 480,354 is: 741,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,076 : 480,354 = 480,354 : x
  2. Step 2: Convert to fraction form
    311,076/480,354 = 480,354/x
  3. Step 3: Cross multiply
    311,076x = 480,354 × 480,354
  4. Step 4: Simplify right side
    311,076x = 230,739,965,316
  5. Step 5: Solve for x
    x = 230,739,965,316/311,076
  6. Step 6: Final answer
    x = 741,747.89

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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.