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Finding the Third Proportional to 678,747 and 997,343

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Solution

The third proportional to 678,747 and 997,343 is: 1,465,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,747 : 997,343 = 997,343 : x
  2. Step 2: Convert to fraction form
    678,747/997,343 = 997,343/x
  3. Step 3: Cross multiply
    678,747x = 997,343 × 997,343
  4. Step 4: Simplify right side
    678,747x = 994,693,059,649
  5. Step 5: Solve for x
    x = 994,693,059,649/678,747
  6. Step 6: Final answer
    x = 1,465,484.28

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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.