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Finding the Third Proportional to 86,418 and 133,312

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Solution

The third proportional to 86,418 and 133,312 is: 205,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,418 : 133,312 = 133,312 : x
  2. Step 2: Convert to fraction form
    86,418/133,312 = 133,312/x
  3. Step 3: Cross multiply
    86,418x = 133,312 × 133,312
  4. Step 4: Simplify right side
    86,418x = 17,772,089,344
  5. Step 5: Solve for x
    x = 17,772,089,344/86,418
  6. Step 6: Final answer
    x = 205,652.63

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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.