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Finding the Third Proportional to 311,817 and 673,527

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Solution

The third proportional to 311,817 and 673,527 is: 1,454,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,817 : 673,527 = 673,527 : x
  2. Step 2: Convert to fraction form
    311,817/673,527 = 673,527/x
  3. Step 3: Cross multiply
    311,817x = 673,527 × 673,527
  4. Step 4: Simplify right side
    311,817x = 453,638,619,729
  5. Step 5: Solve for x
    x = 453,638,619,729/311,817
  6. Step 6: Final answer
    x = 1,454,823.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.