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Finding the Third Proportional to 72,462 and 149,580

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Solution

The third proportional to 72,462 and 149,580 is: 308,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,462 : 149,580 = 149,580 : x
  2. Step 2: Convert to fraction form
    72,462/149,580 = 149,580/x
  3. Step 3: Cross multiply
    72,462x = 149,580 × 149,580
  4. Step 4: Simplify right side
    72,462x = 22,374,176,400
  5. Step 5: Solve for x
    x = 22,374,176,400/72,462
  6. Step 6: Final answer
    x = 308,771.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.