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Finding the Third Proportional to 127,855 and 198,510

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Solution

The third proportional to 127,855 and 198,510 is: 308,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,855 : 198,510 = 198,510 : x
  2. Step 2: Convert to fraction form
    127,855/198,510 = 198,510/x
  3. Step 3: Cross multiply
    127,855x = 198,510 × 198,510
  4. Step 4: Simplify right side
    127,855x = 39,406,220,100
  5. Step 5: Solve for x
    x = 39,406,220,100/127,855
  6. Step 6: Final answer
    x = 308,210.24

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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.