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Finding the Third Proportional to 78,356 and 170,698

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Solution

The third proportional to 78,356 and 170,698 is: 371,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,356 : 170,698 = 170,698 : x
  2. Step 2: Convert to fraction form
    78,356/170,698 = 170,698/x
  3. Step 3: Cross multiply
    78,356x = 170,698 × 170,698
  4. Step 4: Simplify right side
    78,356x = 29,137,807,204
  5. Step 5: Solve for x
    x = 29,137,807,204/78,356
  6. Step 6: Final answer
    x = 371,864.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.