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Finding the Third Proportional to 513,936 and 818,424

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Solution

The third proportional to 513,936 and 818,424 is: 1,303,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,936 : 818,424 = 818,424 : x
  2. Step 2: Convert to fraction form
    513,936/818,424 = 818,424/x
  3. Step 3: Cross multiply
    513,936x = 818,424 × 818,424
  4. Step 4: Simplify right side
    513,936x = 669,817,843,776
  5. Step 5: Solve for x
    x = 669,817,843,776/513,936
  6. Step 6: Final answer
    x = 1,303,309.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.