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Finding the Third Proportional to 311,938 and 470,124

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Solution

The third proportional to 311,938 and 470,124 is: 708,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,938 : 470,124 = 470,124 : x
  2. Step 2: Convert to fraction form
    311,938/470,124 = 470,124/x
  3. Step 3: Cross multiply
    311,938x = 470,124 × 470,124
  4. Step 4: Simplify right side
    311,938x = 221,016,575,376
  5. Step 5: Solve for x
    x = 221,016,575,376/311,938
  6. Step 6: Final answer
    x = 708,527.26

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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.