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Finding the Third Proportional to 191,782 and 403,787

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Solution

The third proportional to 191,782 and 403,787 is: 850,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,782 : 403,787 = 403,787 : x
  2. Step 2: Convert to fraction form
    191,782/403,787 = 403,787/x
  3. Step 3: Cross multiply
    191,782x = 403,787 × 403,787
  4. Step 4: Simplify right side
    191,782x = 163,043,941,369
  5. Step 5: Solve for x
    x = 163,043,941,369/191,782
  6. Step 6: Final answer
    x = 850,152.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.