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Finding the Third Proportional to 678,309 and 1,049,823

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Solution

The third proportional to 678,309 and 1,049,823 is: 1,624,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,309 : 1,049,823 = 1,049,823 : x
  2. Step 2: Convert to fraction form
    678,309/1,049,823 = 1,049,823/x
  3. Step 3: Cross multiply
    678,309x = 1,049,823 × 1,049,823
  4. Step 4: Simplify right side
    678,309x = 1,102,128,331,329
  5. Step 5: Solve for x
    x = 1,102,128,331,329/678,309
  6. Step 6: Final answer
    x = 1,624,817.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.