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Finding the Third Proportional to 405,060.75 and 455,361.75

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Solution

The third proportional to 405,060.75 and 455,361.75 is: 511,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,060.75 : 455,361.75 = 455,361.75 : x
  2. Step 2: Convert to fraction form
    405,060.75/455,361.75 = 455,361.75/x
  3. Step 3: Cross multiply
    405,060.75x = 455,361.75 × 455,361.75
  4. Step 4: Simplify right side
    405,060.75x = 207,354,323,363.06
  5. Step 5: Solve for x
    x = 207,354,323,363.06/405,060.75
  6. Step 6: Final answer
    x = 511,909.20

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.