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Finding the Third Proportional to 78,009 and 165,315

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Solution

The third proportional to 78,009 and 165,315 is: 350,332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,009 : 165,315 = 165,315 : x
  2. Step 2: Convert to fraction form
    78,009/165,315 = 165,315/x
  3. Step 3: Cross multiply
    78,009x = 165,315 × 165,315
  4. Step 4: Simplify right side
    78,009x = 27,329,049,225
  5. Step 5: Solve for x
    x = 27,329,049,225/78,009
  6. Step 6: Final answer
    x = 350,332.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.