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Finding the Third Proportional to 152,781 and 361,221

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Solution

The third proportional to 152,781 and 361,221 is: 854,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,781 : 361,221 = 361,221 : x
  2. Step 2: Convert to fraction form
    152,781/361,221 = 361,221/x
  3. Step 3: Cross multiply
    152,781x = 361,221 × 361,221
  4. Step 4: Simplify right side
    152,781x = 130,480,610,841
  5. Step 5: Solve for x
    x = 130,480,610,841/152,781
  6. Step 6: Final answer
    x = 854,036.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.