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Finding the Third Proportional to 121,404 and 190,044

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Solution

The third proportional to 121,404 and 190,044 is: 297,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,404 : 190,044 = 190,044 : x
  2. Step 2: Convert to fraction form
    121,404/190,044 = 190,044/x
  3. Step 3: Cross multiply
    121,404x = 190,044 × 190,044
  4. Step 4: Simplify right side
    121,404x = 36,116,721,936
  5. Step 5: Solve for x
    x = 36,116,721,936/121,404
  6. Step 6: Final answer
    x = 297,492.03

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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.