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Finding the Third Proportional to 74,764.50 and 106,638.75

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Solution

The third proportional to 74,764.50 and 106,638.75 is: 152,101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,764.50 : 106,638.75 = 106,638.75 : x
  2. Step 2: Convert to fraction form
    74,764.50/106,638.75 = 106,638.75/x
  3. Step 3: Cross multiply
    74,764.50x = 106,638.75 × 106,638.75
  4. Step 4: Simplify right side
    74,764.50x = 11,371,823,001.56
  5. Step 5: Solve for x
    x = 11,371,823,001.56/74,764.50
  6. Step 6: Final answer
    x = 152,101.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.