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Finding the Third Proportional to 72,958 and 150,971

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Solution

The third proportional to 72,958 and 150,971 is: 312,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,958 : 150,971 = 150,971 : x
  2. Step 2: Convert to fraction form
    72,958/150,971 = 150,971/x
  3. Step 3: Cross multiply
    72,958x = 150,971 × 150,971
  4. Step 4: Simplify right side
    72,958x = 22,792,242,841
  5. Step 5: Solve for x
    x = 22,792,242,841/72,958
  6. Step 6: Final answer
    x = 312,402.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.