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Finding the Third Proportional to 78,855 and 170,346

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Solution

The third proportional to 78,855 and 170,346 is: 367,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,855 : 170,346 = 170,346 : x
  2. Step 2: Convert to fraction form
    78,855/170,346 = 170,346/x
  3. Step 3: Cross multiply
    78,855x = 170,346 × 170,346
  4. Step 4: Simplify right side
    78,855x = 29,017,759,716
  5. Step 5: Solve for x
    x = 29,017,759,716/78,855
  6. Step 6: Final answer
    x = 367,988.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.