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Finding the Third Proportional to 84,417 and 199,270

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Solution

The third proportional to 84,417 and 199,270 is: 470,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,417 : 199,270 = 199,270 : x
  2. Step 2: Convert to fraction form
    84,417/199,270 = 199,270/x
  3. Step 3: Cross multiply
    84,417x = 199,270 × 199,270
  4. Step 4: Simplify right side
    84,417x = 39,708,532,900
  5. Step 5: Solve for x
    x = 39,708,532,900/84,417
  6. Step 6: Final answer
    x = 470,385.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.