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Finding the Third Proportional to 59,535 and 81,076.50

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Solution

The third proportional to 59,535 and 81,076.50 is: 110,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,535 : 81,076.50 = 81,076.50 : x
  2. Step 2: Convert to fraction form
    59,535/81,076.50 = 81,076.50/x
  3. Step 3: Cross multiply
    59,535x = 81,076.50 × 81,076.50
  4. Step 4: Simplify right side
    59,535x = 6,573,398,852.25
  5. Step 5: Solve for x
    x = 6,573,398,852.25/59,535
  6. Step 6: Final answer
    x = 110,412.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.