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Finding the Third Proportional to 763,728 and 1,122,208

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Solution

The third proportional to 763,728 and 1,122,208 is: 1,648,951.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,728 : 1,122,208 = 1,122,208 : x
  2. Step 2: Convert to fraction form
    763,728/1,122,208 = 1,122,208/x
  3. Step 3: Cross multiply
    763,728x = 1,122,208 × 1,122,208
  4. Step 4: Simplify right side
    763,728x = 1,259,350,795,264
  5. Step 5: Solve for x
    x = 1,259,350,795,264/763,728
  6. Step 6: Final answer
    x = 1,648,951.98

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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.