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Finding the Third Proportional to 76,430 and 158,260

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Solution

The third proportional to 76,430 and 158,260 is: 327,701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,430 : 158,260 = 158,260 : x
  2. Step 2: Convert to fraction form
    76,430/158,260 = 158,260/x
  3. Step 3: Cross multiply
    76,430x = 158,260 × 158,260
  4. Step 4: Simplify right side
    76,430x = 25,046,227,600
  5. Step 5: Solve for x
    x = 25,046,227,600/76,430
  6. Step 6: Final answer
    x = 327,701.53

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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.