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Finding the Third Proportional to 370,864 and 503,787

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Solution

The third proportional to 370,864 and 503,787 is: 684,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,864 : 503,787 = 503,787 : x
  2. Step 2: Convert to fraction form
    370,864/503,787 = 503,787/x
  3. Step 3: Cross multiply
    370,864x = 503,787 × 503,787
  4. Step 4: Simplify right side
    370,864x = 253,801,341,369
  5. Step 5: Solve for x
    x = 253,801,341,369/370,864
  6. Step 6: Final answer
    x = 684,351.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.