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Finding the Third Proportional to 239,358 and 364,221

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Solution

The third proportional to 239,358 and 364,221 is: 554,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,358 : 364,221 = 364,221 : x
  2. Step 2: Convert to fraction form
    239,358/364,221 = 364,221/x
  3. Step 3: Cross multiply
    239,358x = 364,221 × 364,221
  4. Step 4: Simplify right side
    239,358x = 132,656,936,841
  5. Step 5: Solve for x
    x = 132,656,936,841/239,358
  6. Step 6: Final answer
    x = 554,219.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.