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Finding the Third Proportional to 332,575 and 731,610

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Solution

The third proportional to 332,575 and 731,610 is: 1,609,421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,575 : 731,610 = 731,610 : x
  2. Step 2: Convert to fraction form
    332,575/731,610 = 731,610/x
  3. Step 3: Cross multiply
    332,575x = 731,610 × 731,610
  4. Step 4: Simplify right side
    332,575x = 535,253,192,100
  5. Step 5: Solve for x
    x = 535,253,192,100/332,575
  6. Step 6: Final answer
    x = 1,609,421.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.