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Finding the Third Proportional to 224,808 and 470,402

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Solution

The third proportional to 224,808 and 470,402 is: 984,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,808 : 470,402 = 470,402 : x
  2. Step 2: Convert to fraction form
    224,808/470,402 = 470,402/x
  3. Step 3: Cross multiply
    224,808x = 470,402 × 470,402
  4. Step 4: Simplify right side
    224,808x = 221,278,041,604
  5. Step 5: Solve for x
    x = 221,278,041,604/224,808
  6. Step 6: Final answer
    x = 984,297.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.