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Finding the Third Proportional to 127,842 and 198,130.50

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Solution

The third proportional to 127,842 and 198,130.50 is: 307,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,842 : 198,130.50 = 198,130.50 : x
  2. Step 2: Convert to fraction form
    127,842/198,130.50 = 198,130.50/x
  3. Step 3: Cross multiply
    127,842x = 198,130.50 × 198,130.50
  4. Step 4: Simplify right side
    127,842x = 39,255,695,030.25
  5. Step 5: Solve for x
    x = 39,255,695,030.25/127,842
  6. Step 6: Final answer
    x = 307,064.15

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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.