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Finding the Third Proportional to 133,806.50 and 197,013.50

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Solution

The third proportional to 133,806.50 and 197,013.50 is: 290,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,806.50 : 197,013.50 = 197,013.50 : x
  2. Step 2: Convert to fraction form
    133,806.50/197,013.50 = 197,013.50/x
  3. Step 3: Cross multiply
    133,806.50x = 197,013.50 × 197,013.50
  4. Step 4: Simplify right side
    133,806.50x = 38,814,319,182.25
  5. Step 5: Solve for x
    x = 38,814,319,182.25/133,806.50
  6. Step 6: Final answer
    x = 290,077.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.