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Finding the Third Proportional to 321,018 and 429,471

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Solution

The third proportional to 321,018 and 429,471 is: 574,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,018 : 429,471 = 429,471 : x
  2. Step 2: Convert to fraction form
    321,018/429,471 = 429,471/x
  3. Step 3: Cross multiply
    321,018x = 429,471 × 429,471
  4. Step 4: Simplify right side
    321,018x = 184,445,339,841
  5. Step 5: Solve for x
    x = 184,445,339,841/321,018
  6. Step 6: Final answer
    x = 574,563.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.