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Finding the Third Proportional to 89,460 and 136,998

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Solution

The third proportional to 89,460 and 136,998 is: 209,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,460 : 136,998 = 136,998 : x
  2. Step 2: Convert to fraction form
    89,460/136,998 = 136,998/x
  3. Step 3: Cross multiply
    89,460x = 136,998 × 136,998
  4. Step 4: Simplify right side
    89,460x = 18,768,452,004
  5. Step 5: Solve for x
    x = 18,768,452,004/89,460
  6. Step 6: Final answer
    x = 209,797.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.