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Finding the Third Proportional to 397,677 and 602,307

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Solution

The third proportional to 397,677 and 602,307 is: 912,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,677 : 602,307 = 602,307 : x
  2. Step 2: Convert to fraction form
    397,677/602,307 = 602,307/x
  3. Step 3: Cross multiply
    397,677x = 602,307 × 602,307
  4. Step 4: Simplify right side
    397,677x = 362,773,722,249
  5. Step 5: Solve for x
    x = 362,773,722,249/397,677
  6. Step 6: Final answer
    x = 912,232.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.