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Finding the Third Proportional to 78,961 and 163,490

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Solution

The third proportional to 78,961 and 163,490 is: 338,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,961 : 163,490 = 163,490 : x
  2. Step 2: Convert to fraction form
    78,961/163,490 = 163,490/x
  3. Step 3: Cross multiply
    78,961x = 163,490 × 163,490
  4. Step 4: Simplify right side
    78,961x = 26,728,980,100
  5. Step 5: Solve for x
    x = 26,728,980,100/78,961
  6. Step 6: Final answer
    x = 338,508.63

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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.