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Finding the Third Proportional to 56,354 and 87,214

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Solution

The third proportional to 56,354 and 87,214 is: 134,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,354 : 87,214 = 87,214 : x
  2. Step 2: Convert to fraction form
    56,354/87,214 = 87,214/x
  3. Step 3: Cross multiply
    56,354x = 87,214 × 87,214
  4. Step 4: Simplify right side
    56,354x = 7,606,281,796
  5. Step 5: Solve for x
    x = 7,606,281,796/56,354
  6. Step 6: Final answer
    x = 134,973.24

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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.