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Finding the Third Proportional to 328,644 and 469,638

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Solution

The third proportional to 328,644 and 469,638 is: 671,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,644 : 469,638 = 469,638 : x
  2. Step 2: Convert to fraction form
    328,644/469,638 = 469,638/x
  3. Step 3: Cross multiply
    328,644x = 469,638 × 469,638
  4. Step 4: Simplify right side
    328,644x = 220,559,851,044
  5. Step 5: Solve for x
    x = 220,559,851,044/328,644
  6. Step 6: Final answer
    x = 671,120.88

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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.