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Finding the Third Proportional to 121,417 and 190,051

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Solution

The third proportional to 121,417 and 190,051 is: 297,482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,417 : 190,051 = 190,051 : x
  2. Step 2: Convert to fraction form
    121,417/190,051 = 190,051/x
  3. Step 3: Cross multiply
    121,417x = 190,051 × 190,051
  4. Step 4: Simplify right side
    121,417x = 36,119,382,601
  5. Step 5: Solve for x
    x = 36,119,382,601/121,417
  6. Step 6: Final answer
    x = 297,482.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.