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Finding the Third Proportional to 128,998 and 199,248

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Solution

The third proportional to 128,998 and 199,248 is: 307,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,998 : 199,248 = 199,248 : x
  2. Step 2: Convert to fraction form
    128,998/199,248 = 199,248/x
  3. Step 3: Cross multiply
    128,998x = 199,248 × 199,248
  4. Step 4: Simplify right side
    128,998x = 39,699,765,504
  5. Step 5: Solve for x
    x = 39,699,765,504/128,998
  6. Step 6: Final answer
    x = 307,754.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.