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Finding the Third Proportional to 76,459.50 and 156,321

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Solution

The third proportional to 76,459.50 and 156,321 is: 319,597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,459.50 : 156,321 = 156,321 : x
  2. Step 2: Convert to fraction form
    76,459.50/156,321 = 156,321/x
  3. Step 3: Cross multiply
    76,459.50x = 156,321 × 156,321
  4. Step 4: Simplify right side
    76,459.50x = 24,436,255,041
  5. Step 5: Solve for x
    x = 24,436,255,041/76,459.50
  6. Step 6: Final answer
    x = 319,597.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.