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Finding the Third Proportional to 131,303 and 191,214

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Solution

The third proportional to 131,303 and 191,214 is: 278,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,303 : 191,214 = 191,214 : x
  2. Step 2: Convert to fraction form
    131,303/191,214 = 191,214/x
  3. Step 3: Cross multiply
    131,303x = 191,214 × 191,214
  4. Step 4: Simplify right side
    131,303x = 36,562,793,796
  5. Step 5: Solve for x
    x = 36,562,793,796/131,303
  6. Step 6: Final answer
    x = 278,461.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.