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Finding the Third Proportional to 390,874.50 and 590,503.50

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Solution

The third proportional to 390,874.50 and 590,503.50 is: 892,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,874.50 : 590,503.50 = 590,503.50 : x
  2. Step 2: Convert to fraction form
    390,874.50/590,503.50 = 590,503.50/x
  3. Step 3: Cross multiply
    390,874.50x = 590,503.50 × 590,503.50
  4. Step 4: Simplify right side
    390,874.50x = 348,694,383,512.25
  5. Step 5: Solve for x
    x = 348,694,383,512.25/390,874.50
  6. Step 6: Final answer
    x = 892,087.83

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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.