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Finding the Third Proportional to 242,749 and 371,515

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Solution

The third proportional to 242,749 and 371,515 is: 568,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,749 : 371,515 = 371,515 : x
  2. Step 2: Convert to fraction form
    242,749/371,515 = 371,515/x
  3. Step 3: Cross multiply
    242,749x = 371,515 × 371,515
  4. Step 4: Simplify right side
    242,749x = 138,023,395,225
  5. Step 5: Solve for x
    x = 138,023,395,225/242,749
  6. Step 6: Final answer
    x = 568,584.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.