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Finding the Third Proportional to 131,088 and 197,706

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Solution

The third proportional to 131,088 and 197,706 is: 298,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,088 : 197,706 = 197,706 : x
  2. Step 2: Convert to fraction form
    131,088/197,706 = 197,706/x
  3. Step 3: Cross multiply
    131,088x = 197,706 × 197,706
  4. Step 4: Simplify right side
    131,088x = 39,087,662,436
  5. Step 5: Solve for x
    x = 39,087,662,436/131,088
  6. Step 6: Final answer
    x = 298,178.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.