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Finding the Third Proportional to 70,971.75 and 155,225.25

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Solution

The third proportional to 70,971.75 and 155,225.25 is: 339,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,971.75 : 155,225.25 = 155,225.25 : x
  2. Step 2: Convert to fraction form
    70,971.75/155,225.25 = 155,225.25/x
  3. Step 3: Cross multiply
    70,971.75x = 155,225.25 × 155,225.25
  4. Step 4: Simplify right side
    70,971.75x = 24,094,878,237.56
  5. Step 5: Solve for x
    x = 24,094,878,237.56/70,971.75
  6. Step 6: Final answer
    x = 339,499.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.