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Finding the Third Proportional to 78,038 and 165,364

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Solution

The third proportional to 78,038 and 165,364 is: 350,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,038 : 165,364 = 165,364 : x
  2. Step 2: Convert to fraction form
    78,038/165,364 = 165,364/x
  3. Step 3: Cross multiply
    78,038x = 165,364 × 165,364
  4. Step 4: Simplify right side
    78,038x = 27,345,252,496
  5. Step 5: Solve for x
    x = 27,345,252,496/78,038
  6. Step 6: Final answer
    x = 350,409.45

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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.