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Finding the Third Proportional to 70,422 and 145,765.50

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Solution

The third proportional to 70,422 and 145,765.50 is: 301,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,422 : 145,765.50 = 145,765.50 : x
  2. Step 2: Convert to fraction form
    70,422/145,765.50 = 145,765.50/x
  3. Step 3: Cross multiply
    70,422x = 145,765.50 × 145,765.50
  4. Step 4: Simplify right side
    70,422x = 21,247,580,990.25
  5. Step 5: Solve for x
    x = 21,247,580,990.25/70,422
  6. Step 6: Final answer
    x = 301,717.94

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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.