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Finding the Third Proportional to 77,283 and 122,836.50

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Solution

The third proportional to 77,283 and 122,836.50 is: 195,240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,283 : 122,836.50 = 122,836.50 : x
  2. Step 2: Convert to fraction form
    77,283/122,836.50 = 122,836.50/x
  3. Step 3: Cross multiply
    77,283x = 122,836.50 × 122,836.50
  4. Step 4: Simplify right side
    77,283x = 15,088,805,732.25
  5. Step 5: Solve for x
    x = 15,088,805,732.25/77,283
  6. Step 6: Final answer
    x = 195,240.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.