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Finding the Third Proportional to 64,742 and 86,316

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Solution

The third proportional to 64,742 and 86,316 is: 115,079.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,742 : 86,316 = 86,316 : x
  2. Step 2: Convert to fraction form
    64,742/86,316 = 86,316/x
  3. Step 3: Cross multiply
    64,742x = 86,316 × 86,316
  4. Step 4: Simplify right side
    64,742x = 7,450,451,856
  5. Step 5: Solve for x
    x = 7,450,451,856/64,742
  6. Step 6: Final answer
    x = 115,079.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.