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Finding the Third Proportional to 84,095 and 133,728.50

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Solution

The third proportional to 84,095 and 133,728.50 is: 212,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,095 : 133,728.50 = 133,728.50 : x
  2. Step 2: Convert to fraction form
    84,095/133,728.50 = 133,728.50/x
  3. Step 3: Cross multiply
    84,095x = 133,728.50 × 133,728.50
  4. Step 4: Simplify right side
    84,095x = 17,883,311,712.25
  5. Step 5: Solve for x
    x = 17,883,311,712.25/84,095
  6. Step 6: Final answer
    x = 212,656.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.