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Finding the Third Proportional to 285,278 and 602,392

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Solution

The third proportional to 285,278 and 602,392 is: 1,272,008.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,278 : 602,392 = 602,392 : x
  2. Step 2: Convert to fraction form
    285,278/602,392 = 602,392/x
  3. Step 3: Cross multiply
    285,278x = 602,392 × 602,392
  4. Step 4: Simplify right side
    285,278x = 362,876,121,664
  5. Step 5: Solve for x
    x = 362,876,121,664/285,278
  6. Step 6: Final answer
    x = 1,272,008.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.