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Finding the Third Proportional to 270,930 and 429,357

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Solution

The third proportional to 270,930 and 429,357 is: 680,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,930 : 429,357 = 429,357 : x
  2. Step 2: Convert to fraction form
    270,930/429,357 = 429,357/x
  3. Step 3: Cross multiply
    270,930x = 429,357 × 429,357
  4. Step 4: Simplify right side
    270,930x = 184,347,433,449
  5. Step 5: Solve for x
    x = 184,347,433,449/270,930
  6. Step 6: Final answer
    x = 680,424.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.