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Finding the Third Proportional to 678,813 and 1,006,476

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Solution

The third proportional to 678,813 and 1,006,476 is: 1,492,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,813 : 1,006,476 = 1,006,476 : x
  2. Step 2: Convert to fraction form
    678,813/1,006,476 = 1,006,476/x
  3. Step 3: Cross multiply
    678,813x = 1,006,476 × 1,006,476
  4. Step 4: Simplify right side
    678,813x = 1,012,993,938,576
  5. Step 5: Solve for x
    x = 1,012,993,938,576/678,813
  6. Step 6: Final answer
    x = 1,492,301.91

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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.