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Finding the Third Proportional to 390,456 and 590,601

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Solution

The third proportional to 390,456 and 590,601 is: 893,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,456 : 590,601 = 590,601 : x
  2. Step 2: Convert to fraction form
    390,456/590,601 = 590,601/x
  3. Step 3: Cross multiply
    390,456x = 590,601 × 590,601
  4. Step 4: Simplify right side
    390,456x = 348,809,541,201
  5. Step 5: Solve for x
    x = 348,809,541,201/390,456
  6. Step 6: Final answer
    x = 893,338.92

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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.