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Finding the Third Proportional to 86,389 and 133,410

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Solution

The third proportional to 86,389 and 133,410 is: 206,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,389 : 133,410 = 133,410 : x
  2. Step 2: Convert to fraction form
    86,389/133,410 = 133,410/x
  3. Step 3: Cross multiply
    86,389x = 133,410 × 133,410
  4. Step 4: Simplify right side
    86,389x = 17,798,228,100
  5. Step 5: Solve for x
    x = 17,798,228,100/86,389
  6. Step 6: Final answer
    x = 206,024.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.