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Finding the Third Proportional to 86,223 and 128,803.50

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Solution

The third proportional to 86,223 and 128,803.50 is: 192,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,223 : 128,803.50 = 128,803.50 : x
  2. Step 2: Convert to fraction form
    86,223/128,803.50 = 128,803.50/x
  3. Step 3: Cross multiply
    86,223x = 128,803.50 × 128,803.50
  4. Step 4: Simplify right side
    86,223x = 16,590,341,612.25
  5. Step 5: Solve for x
    x = 16,590,341,612.25/86,223
  6. Step 6: Final answer
    x = 192,412.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.