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Finding the Third Proportional to 472,910 and 726,900

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Solution

The third proportional to 472,910 and 726,900 is: 1,117,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,910 : 726,900 = 726,900 : x
  2. Step 2: Convert to fraction form
    472,910/726,900 = 726,900/x
  3. Step 3: Cross multiply
    472,910x = 726,900 × 726,900
  4. Step 4: Simplify right side
    472,910x = 528,383,610,000
  5. Step 5: Solve for x
    x = 528,383,610,000/472,910
  6. Step 6: Final answer
    x = 1,117,302.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.