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Finding the Third Proportional to 328,686 and 469,701

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Solution

The third proportional to 328,686 and 469,701 is: 671,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,686 : 469,701 = 469,701 : x
  2. Step 2: Convert to fraction form
    328,686/469,701 = 469,701/x
  3. Step 3: Cross multiply
    328,686x = 469,701 × 469,701
  4. Step 4: Simplify right side
    328,686x = 220,619,029,401
  5. Step 5: Solve for x
    x = 220,619,029,401/328,686
  6. Step 6: Final answer
    x = 671,215.17

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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.