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Finding the Third Proportional to 397,663 and 602,287

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Solution

The third proportional to 397,663 and 602,287 is: 912,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,663 : 602,287 = 602,287 : x
  2. Step 2: Convert to fraction form
    397,663/602,287 = 602,287/x
  3. Step 3: Cross multiply
    397,663x = 602,287 × 602,287
  4. Step 4: Simplify right side
    397,663x = 362,749,630,369
  5. Step 5: Solve for x
    x = 362,749,630,369/397,663
  6. Step 6: Final answer
    x = 912,203.63

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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.