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Finding the Third Proportional to 52,875 and 81,918

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Solution

The third proportional to 52,875 and 81,918 is: 126,913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,875 : 81,918 = 81,918 : x
  2. Step 2: Convert to fraction form
    52,875/81,918 = 81,918/x
  3. Step 3: Cross multiply
    52,875x = 81,918 × 81,918
  4. Step 4: Simplify right side
    52,875x = 6,710,558,724
  5. Step 5: Solve for x
    x = 6,710,558,724/52,875
  6. Step 6: Final answer
    x = 126,913.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.