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Finding the Third Proportional to 242,747 and 371,512

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Solution

The third proportional to 242,747 and 371,512 is: 568,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,747 : 371,512 = 371,512 : x
  2. Step 2: Convert to fraction form
    242,747/371,512 = 371,512/x
  3. Step 3: Cross multiply
    242,747x = 371,512 × 371,512
  4. Step 4: Simplify right side
    242,747x = 138,021,166,144
  5. Step 5: Solve for x
    x = 138,021,166,144/242,747
  6. Step 6: Final answer
    x = 568,580.32

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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.