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Finding the Third Proportional to 351,822 and 686,146.50

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Solution

The third proportional to 351,822 and 686,146.50 is: 1,338,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,822 : 686,146.50 = 686,146.50 : x
  2. Step 2: Convert to fraction form
    351,822/686,146.50 = 686,146.50/x
  3. Step 3: Cross multiply
    351,822x = 686,146.50 × 686,146.50
  4. Step 4: Simplify right side
    351,822x = 470,797,019,462.25
  5. Step 5: Solve for x
    x = 470,797,019,462.25/351,822
  6. Step 6: Final answer
    x = 1,338,168.22

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.