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Finding the Third Proportional to 77,655 and 165,478

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Solution

The third proportional to 77,655 and 165,478 is: 352,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,655 : 165,478 = 165,478 : x
  2. Step 2: Convert to fraction form
    77,655/165,478 = 165,478/x
  3. Step 3: Cross multiply
    77,655x = 165,478 × 165,478
  4. Step 4: Simplify right side
    77,655x = 27,382,968,484
  5. Step 5: Solve for x
    x = 27,382,968,484/77,655
  6. Step 6: Final answer
    x = 352,623.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.