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Finding the Third Proportional to 321,026 and 429,481

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Solution

The third proportional to 321,026 and 429,481 is: 574,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,026 : 429,481 = 429,481 : x
  2. Step 2: Convert to fraction form
    321,026/429,481 = 429,481/x
  3. Step 3: Cross multiply
    321,026x = 429,481 × 429,481
  4. Step 4: Simplify right side
    321,026x = 184,453,929,361
  5. Step 5: Solve for x
    x = 184,453,929,361/321,026
  6. Step 6: Final answer
    x = 574,576.29

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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.