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Finding the Third Proportional to 279,324 and 607,221

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Solution

The third proportional to 279,324 and 607,221 is: 1,320,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,324 : 607,221 = 607,221 : x
  2. Step 2: Convert to fraction form
    279,324/607,221 = 607,221/x
  3. Step 3: Cross multiply
    279,324x = 607,221 × 607,221
  4. Step 4: Simplify right side
    279,324x = 368,717,342,841
  5. Step 5: Solve for x
    x = 368,717,342,841/279,324
  6. Step 6: Final answer
    x = 1,320,034.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.