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Finding the Third Proportional to 89,712 and 190,359

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Solution

The third proportional to 89,712 and 190,359 is: 403,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,712 : 190,359 = 190,359 : x
  2. Step 2: Convert to fraction form
    89,712/190,359 = 190,359/x
  3. Step 3: Cross multiply
    89,712x = 190,359 × 190,359
  4. Step 4: Simplify right side
    89,712x = 36,236,548,881
  5. Step 5: Solve for x
    x = 36,236,548,881/89,712
  6. Step 6: Final answer
    x = 403,920.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.