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Finding the Third Proportional to 121,984 and 190,353

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Solution

The third proportional to 121,984 and 190,353 is: 297,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,984 : 190,353 = 190,353 : x
  2. Step 2: Convert to fraction form
    121,984/190,353 = 190,353/x
  3. Step 3: Cross multiply
    121,984x = 190,353 × 190,353
  4. Step 4: Simplify right side
    121,984x = 36,234,264,609
  5. Step 5: Solve for x
    x = 36,234,264,609/121,984
  6. Step 6: Final answer
    x = 297,041.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.