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Finding the Third Proportional to 311,164 and 480,566

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Solution

The third proportional to 311,164 and 480,566 is: 742,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,164 : 480,566 = 480,566 : x
  2. Step 2: Convert to fraction form
    311,164/480,566 = 480,566/x
  3. Step 3: Cross multiply
    311,164x = 480,566 × 480,566
  4. Step 4: Simplify right side
    311,164x = 230,943,680,356
  5. Step 5: Solve for x
    x = 230,943,680,356/311,164
  6. Step 6: Final answer
    x = 742,192.80

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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.