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Finding the Third Proportional to 252,170 and 390,446

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Solution

The third proportional to 252,170 and 390,446 is: 604,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,170 : 390,446 = 390,446 : x
  2. Step 2: Convert to fraction form
    252,170/390,446 = 390,446/x
  3. Step 3: Cross multiply
    252,170x = 390,446 × 390,446
  4. Step 4: Simplify right side
    252,170x = 152,448,078,916
  5. Step 5: Solve for x
    x = 152,448,078,916/252,170
  6. Step 6: Final answer
    x = 604,544.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.