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Finding the Third Proportional to 413,418 and 620,127

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Solution

The third proportional to 413,418 and 620,127 is: 930,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,418 : 620,127 = 620,127 : x
  2. Step 2: Convert to fraction form
    413,418/620,127 = 620,127/x
  3. Step 3: Cross multiply
    413,418x = 620,127 × 620,127
  4. Step 4: Simplify right side
    413,418x = 384,557,496,129
  5. Step 5: Solve for x
    x = 384,557,496,129/413,418
  6. Step 6: Final answer
    x = 930,190.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.