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Finding the Third Proportional to 71,901 and 147,258

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Solution

The third proportional to 71,901 and 147,258 is: 301,594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,901 : 147,258 = 147,258 : x
  2. Step 2: Convert to fraction form
    71,901/147,258 = 147,258/x
  3. Step 3: Cross multiply
    71,901x = 147,258 × 147,258
  4. Step 4: Simplify right side
    71,901x = 21,684,918,564
  5. Step 5: Solve for x
    x = 21,684,918,564/71,901
  6. Step 6: Final answer
    x = 301,594.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.