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Finding the Third Proportional to 678,747 and 997,344

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Solution

The third proportional to 678,747 and 997,344 is: 1,465,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,747 : 997,344 = 997,344 : x
  2. Step 2: Convert to fraction form
    678,747/997,344 = 997,344/x
  3. Step 3: Cross multiply
    678,747x = 997,344 × 997,344
  4. Step 4: Simplify right side
    678,747x = 994,695,054,336
  5. Step 5: Solve for x
    x = 994,695,054,336/678,747
  6. Step 6: Final answer
    x = 1,465,487.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.