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Finding the Third Proportional to 218,838 and 470,940

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Solution

The third proportional to 218,838 and 470,940 is: 1,013,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,838 : 470,940 = 470,940 : x
  2. Step 2: Convert to fraction form
    218,838/470,940 = 470,940/x
  3. Step 3: Cross multiply
    218,838x = 470,940 × 470,940
  4. Step 4: Simplify right side
    218,838x = 221,784,483,600
  5. Step 5: Solve for x
    x = 221,784,483,600/218,838
  6. Step 6: Final answer
    x = 1,013,464.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.