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Finding the Third Proportional to 86,420 and 133,315

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Solution

The third proportional to 86,420 and 133,315 is: 205,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,420 : 133,315 = 133,315 : x
  2. Step 2: Convert to fraction form
    86,420/133,315 = 133,315/x
  3. Step 3: Cross multiply
    86,420x = 133,315 × 133,315
  4. Step 4: Simplify right side
    86,420x = 17,772,889,225
  5. Step 5: Solve for x
    x = 17,772,889,225/86,420
  6. Step 6: Final answer
    x = 205,657.13

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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.