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Finding the Third Proportional to 100,214 and 208,720

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Solution

The third proportional to 100,214 and 208,720 is: 434,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,214 : 208,720 = 208,720 : x
  2. Step 2: Convert to fraction form
    100,214/208,720 = 208,720/x
  3. Step 3: Cross multiply
    100,214x = 208,720 × 208,720
  4. Step 4: Simplify right side
    100,214x = 43,564,038,400
  5. Step 5: Solve for x
    x = 43,564,038,400/100,214
  6. Step 6: Final answer
    x = 434,710.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.