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Finding the Third Proportional to 328,220 and 469,324

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Solution

The third proportional to 328,220 and 469,324 is: 671,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,220 : 469,324 = 469,324 : x
  2. Step 2: Convert to fraction form
    328,220/469,324 = 469,324/x
  3. Step 3: Cross multiply
    328,220x = 469,324 × 469,324
  4. Step 4: Simplify right side
    328,220x = 220,265,016,976
  5. Step 5: Solve for x
    x = 220,265,016,976/328,220
  6. Step 6: Final answer
    x = 671,089.56

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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.