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Finding the Third Proportional to 78,902 and 163,628

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Solution

The third proportional to 78,902 and 163,628 is: 339,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,902 : 163,628 = 163,628 : x
  2. Step 2: Convert to fraction form
    78,902/163,628 = 163,628/x
  3. Step 3: Cross multiply
    78,902x = 163,628 × 163,628
  4. Step 4: Simplify right side
    78,902x = 26,774,122,384
  5. Step 5: Solve for x
    x = 26,774,122,384/78,902
  6. Step 6: Final answer
    x = 339,333.89

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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.