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Finding the Third Proportional to 218,861 and 470,417

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Solution

The third proportional to 218,861 and 470,417 is: 1,011,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,861 : 470,417 = 470,417 : x
  2. Step 2: Convert to fraction form
    218,861/470,417 = 470,417/x
  3. Step 3: Cross multiply
    218,861x = 470,417 × 470,417
  4. Step 4: Simplify right side
    218,861x = 221,292,153,889
  5. Step 5: Solve for x
    x = 221,292,153,889/218,861
  6. Step 6: Final answer
    x = 1,011,108.21

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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.