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Finding the Third Proportional to 132,417.56 and 196,050.94

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Solution

The third proportional to 132,417.56 and 196,050.94 is: 290,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,417.56 : 196,050.94 = 196,050.94 : x
  2. Step 2: Convert to fraction form
    132,417.56/196,050.94 = 196,050.94/x
  3. Step 3: Cross multiply
    132,417.56x = 196,050.94 × 196,050.94
  4. Step 4: Simplify right side
    132,417.56x = 38,435,970,094.63
  5. Step 5: Solve for x
    x = 38,435,970,094.63/132,417.56
  6. Step 6: Final answer
    x = 290,263.39

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.