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Finding the Third Proportional to 153,508 and 206,070

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Solution

The third proportional to 153,508 and 206,070 is: 276,629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,508 : 206,070 = 206,070 : x
  2. Step 2: Convert to fraction form
    153,508/206,070 = 206,070/x
  3. Step 3: Cross multiply
    153,508x = 206,070 × 206,070
  4. Step 4: Simplify right side
    153,508x = 42,464,844,900
  5. Step 5: Solve for x
    x = 42,464,844,900/153,508
  6. Step 6: Final answer
    x = 276,629.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.