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Finding the Third Proportional to 252,090 and 390,285

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Solution

The third proportional to 252,090 and 390,285 is: 604,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,090 : 390,285 = 390,285 : x
  2. Step 2: Convert to fraction form
    252,090/390,285 = 390,285/x
  3. Step 3: Cross multiply
    252,090x = 390,285 × 390,285
  4. Step 4: Simplify right side
    252,090x = 152,322,381,225
  5. Step 5: Solve for x
    x = 152,322,381,225/252,090
  6. Step 6: Final answer
    x = 604,238.09

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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.