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Finding the Third Proportional to 311,416 and 473,280

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Solution

The third proportional to 311,416 and 473,280 is: 719,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,416 : 473,280 = 473,280 : x
  2. Step 2: Convert to fraction form
    311,416/473,280 = 473,280/x
  3. Step 3: Cross multiply
    311,416x = 473,280 × 473,280
  4. Step 4: Simplify right side
    311,416x = 223,993,958,400
  5. Step 5: Solve for x
    x = 223,993,958,400/311,416
  6. Step 6: Final answer
    x = 719,275.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.