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Finding the Third Proportional to 311,940 and 470,719

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Solution

The third proportional to 311,940 and 470,719 is: 710,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,940 : 470,719 = 470,719 : x
  2. Step 2: Convert to fraction form
    311,940/470,719 = 470,719/x
  3. Step 3: Cross multiply
    311,940x = 470,719 × 470,719
  4. Step 4: Simplify right side
    311,940x = 221,576,376,961
  5. Step 5: Solve for x
    x = 221,576,376,961/311,940
  6. Step 6: Final answer
    x = 710,317.29

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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.