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Finding the Third Proportional to 292,186 and 438,279

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Solution

The third proportional to 292,186 and 438,279 is: 657,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,186 : 438,279 = 438,279 : x
  2. Step 2: Convert to fraction form
    292,186/438,279 = 438,279/x
  3. Step 3: Cross multiply
    292,186x = 438,279 × 438,279
  4. Step 4: Simplify right side
    292,186x = 192,088,481,841
  5. Step 5: Solve for x
    x = 192,088,481,841/292,186
  6. Step 6: Final answer
    x = 657,418.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.