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Finding the Third Proportional to 70,702 and 148,676

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Solution

The third proportional to 70,702 and 148,676 is: 312,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,702 : 148,676 = 148,676 : x
  2. Step 2: Convert to fraction form
    70,702/148,676 = 148,676/x
  3. Step 3: Cross multiply
    70,702x = 148,676 × 148,676
  4. Step 4: Simplify right side
    70,702x = 22,104,552,976
  5. Step 5: Solve for x
    x = 22,104,552,976/70,702
  6. Step 6: Final answer
    x = 312,643.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.