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Finding the Third Proportional to 127,236 and 197,110.50

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Solution

The third proportional to 127,236 and 197,110.50 is: 305,358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,236 : 197,110.50 = 197,110.50 : x
  2. Step 2: Convert to fraction form
    127,236/197,110.50 = 197,110.50/x
  3. Step 3: Cross multiply
    127,236x = 197,110.50 × 197,110.50
  4. Step 4: Simplify right side
    127,236x = 38,852,549,210.25
  5. Step 5: Solve for x
    x = 38,852,549,210.25/127,236
  6. Step 6: Final answer
    x = 305,358.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.