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Finding the Third Proportional to 311,158 and 480,557

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Solution

The third proportional to 311,158 and 480,557 is: 742,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,158 : 480,557 = 480,557 : x
  2. Step 2: Convert to fraction form
    311,158/480,557 = 480,557/x
  3. Step 3: Cross multiply
    311,158x = 480,557 × 480,557
  4. Step 4: Simplify right side
    311,158x = 230,935,030,249
  5. Step 5: Solve for x
    x = 230,935,030,249/311,158
  6. Step 6: Final answer
    x = 742,179.31

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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.