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Finding the Third Proportional to 76,284.50 and 159,541

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Solution

The third proportional to 76,284.50 and 159,541 is: 333,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,284.50 : 159,541 = 159,541 : x
  2. Step 2: Convert to fraction form
    76,284.50/159,541 = 159,541/x
  3. Step 3: Cross multiply
    76,284.50x = 159,541 × 159,541
  4. Step 4: Simplify right side
    76,284.50x = 25,453,330,681
  5. Step 5: Solve for x
    x = 25,453,330,681/76,284.50
  6. Step 6: Final answer
    x = 333,663.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.