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Finding the Third Proportional to 70,488 and 109,097

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Solution

The third proportional to 70,488 and 109,097 is: 168,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,488 : 109,097 = 109,097 : x
  2. Step 2: Convert to fraction form
    70,488/109,097 = 109,097/x
  3. Step 3: Cross multiply
    70,488x = 109,097 × 109,097
  4. Step 4: Simplify right side
    70,488x = 11,902,155,409
  5. Step 5: Solve for x
    x = 11,902,155,409/70,488
  6. Step 6: Final answer
    x = 168,853.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.