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Finding the Third Proportional to 328,672 and 469,680

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Solution

The third proportional to 328,672 and 469,680 is: 671,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,672 : 469,680 = 469,680 : x
  2. Step 2: Convert to fraction form
    328,672/469,680 = 469,680/x
  3. Step 3: Cross multiply
    328,672x = 469,680 × 469,680
  4. Step 4: Simplify right side
    328,672x = 220,599,302,400
  5. Step 5: Solve for x
    x = 220,599,302,400/328,672
  6. Step 6: Final answer
    x = 671,183.74

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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.