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Finding the Third Proportional to 311,934 and 470,117

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Solution

The third proportional to 311,934 and 470,117 is: 708,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,934 : 470,117 = 470,117 : x
  2. Step 2: Convert to fraction form
    311,934/470,117 = 470,117/x
  3. Step 3: Cross multiply
    311,934x = 470,117 × 470,117
  4. Step 4: Simplify right side
    311,934x = 221,009,993,689
  5. Step 5: Solve for x
    x = 221,009,993,689/311,934
  6. Step 6: Final answer
    x = 708,515.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.