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Finding the Third Proportional to 472,907 and 726,897

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Solution

The third proportional to 472,907 and 726,897 is: 1,117,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,907 : 726,897 = 726,897 : x
  2. Step 2: Convert to fraction form
    472,907/726,897 = 726,897/x
  3. Step 3: Cross multiply
    472,907x = 726,897 × 726,897
  4. Step 4: Simplify right side
    472,907x = 528,379,248,609
  5. Step 5: Solve for x
    x = 528,379,248,609/472,907
  6. Step 6: Final answer
    x = 1,117,300.54

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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.