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Finding the Third Proportional to 137,790.75 and 197,458.50

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Solution

The third proportional to 137,790.75 and 197,458.50 is: 282,964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,790.75 : 197,458.50 = 197,458.50 : x
  2. Step 2: Convert to fraction form
    137,790.75/197,458.50 = 197,458.50/x
  3. Step 3: Cross multiply
    137,790.75x = 197,458.50 × 197,458.50
  4. Step 4: Simplify right side
    137,790.75x = 38,989,859,222.25
  5. Step 5: Solve for x
    x = 38,989,859,222.25/137,790.75
  6. Step 6: Final answer
    x = 282,964.27

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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.