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Finding the Third Proportional to 78,894 and 163,539

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Solution

The third proportional to 78,894 and 163,539 is: 338,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,894 : 163,539 = 163,539 : x
  2. Step 2: Convert to fraction form
    78,894/163,539 = 163,539/x
  3. Step 3: Cross multiply
    78,894x = 163,539 × 163,539
  4. Step 4: Simplify right side
    78,894x = 26,745,004,521
  5. Step 5: Solve for x
    x = 26,745,004,521/78,894
  6. Step 6: Final answer
    x = 338,999.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.