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Finding the Third Proportional to 328,113 and 469,197

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Solution

The third proportional to 328,113 and 469,197 is: 670,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,113 : 469,197 = 469,197 : x
  2. Step 2: Convert to fraction form
    328,113/469,197 = 469,197/x
  3. Step 3: Cross multiply
    328,113x = 469,197 × 469,197
  4. Step 4: Simplify right side
    328,113x = 220,145,824,809
  5. Step 5: Solve for x
    x = 220,145,824,809/328,113
  6. Step 6: Final answer
    x = 670,945.15

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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.