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Finding the Third Proportional to 678,823 and 1,006,486

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Solution

The third proportional to 678,823 and 1,006,486 is: 1,492,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,823 : 1,006,486 = 1,006,486 : x
  2. Step 2: Convert to fraction form
    678,823/1,006,486 = 1,006,486/x
  3. Step 3: Cross multiply
    678,823x = 1,006,486 × 1,006,486
  4. Step 4: Simplify right side
    678,823x = 1,013,014,068,196
  5. Step 5: Solve for x
    x = 1,013,014,068,196/678,823
  6. Step 6: Final answer
    x = 1,492,309.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.