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Finding the Third Proportional to 78,215 and 165,037

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Solution

The third proportional to 78,215 and 165,037 is: 348,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,215 : 165,037 = 165,037 : x
  2. Step 2: Convert to fraction form
    78,215/165,037 = 165,037/x
  3. Step 3: Cross multiply
    78,215x = 165,037 × 165,037
  4. Step 4: Simplify right side
    78,215x = 27,237,211,369
  5. Step 5: Solve for x
    x = 27,237,211,369/78,215
  6. Step 6: Final answer
    x = 348,235.14

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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.