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Finding the Third Proportional to 328,113 and 469,201

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Solution

The third proportional to 328,113 and 469,201 is: 670,956.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,113 : 469,201 = 469,201 : x
  2. Step 2: Convert to fraction form
    328,113/469,201 = 469,201/x
  3. Step 3: Cross multiply
    328,113x = 469,201 × 469,201
  4. Step 4: Simplify right side
    328,113x = 220,149,578,401
  5. Step 5: Solve for x
    x = 220,149,578,401/328,113
  6. Step 6: Final answer
    x = 670,956.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.