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Finding the Third Proportional to 127,763 and 198,386.50

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Solution

The third proportional to 127,763 and 198,386.50 is: 308,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,763 : 198,386.50 = 198,386.50 : x
  2. Step 2: Convert to fraction form
    127,763/198,386.50 = 198,386.50/x
  3. Step 3: Cross multiply
    127,763x = 198,386.50 × 198,386.50
  4. Step 4: Simplify right side
    127,763x = 39,357,203,382.25
  5. Step 5: Solve for x
    x = 39,357,203,382.25/127,763
  6. Step 6: Final answer
    x = 308,048.52

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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.