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Finding the Third Proportional to 78,822 and 163,254

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Solution

The third proportional to 78,822 and 163,254 is: 338,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,822 : 163,254 = 163,254 : x
  2. Step 2: Convert to fraction form
    78,822/163,254 = 163,254/x
  3. Step 3: Cross multiply
    78,822x = 163,254 × 163,254
  4. Step 4: Simplify right side
    78,822x = 26,651,868,516
  5. Step 5: Solve for x
    x = 26,651,868,516/78,822
  6. Step 6: Final answer
    x = 338,127.28

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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.