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Finding the Third Proportional to 328,673 and 469,681

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Solution

The third proportional to 328,673 and 469,681 is: 671,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,673 : 469,681 = 469,681 : x
  2. Step 2: Convert to fraction form
    328,673/469,681 = 469,681/x
  3. Step 3: Cross multiply
    328,673x = 469,681 × 469,681
  4. Step 4: Simplify right side
    328,673x = 220,600,241,761
  5. Step 5: Solve for x
    x = 220,600,241,761/328,673
  6. Step 6: Final answer
    x = 671,184.56

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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.