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Finding the Third Proportional to 311,894 and 470,940

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Solution

The third proportional to 311,894 and 470,940 is: 711,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,894 : 470,940 = 470,940 : x
  2. Step 2: Convert to fraction form
    311,894/470,940 = 470,940/x
  3. Step 3: Cross multiply
    311,894x = 470,940 × 470,940
  4. Step 4: Simplify right side
    311,894x = 221,784,483,600
  5. Step 5: Solve for x
    x = 221,784,483,600/311,894
  6. Step 6: Final answer
    x = 711,089.29

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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.