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Finding the Third Proportional to 311,232 and 487,719

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Solution

The third proportional to 311,232 and 487,719 is: 764,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,232 : 487,719 = 487,719 : x
  2. Step 2: Convert to fraction form
    311,232/487,719 = 487,719/x
  3. Step 3: Cross multiply
    311,232x = 487,719 × 487,719
  4. Step 4: Simplify right side
    311,232x = 237,869,822,961
  5. Step 5: Solve for x
    x = 237,869,822,961/311,232
  6. Step 6: Final answer
    x = 764,284.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.