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Finding the Third Proportional to 88,144 and 128,523.75

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Solution

The third proportional to 88,144 and 128,523.75 is: 187,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,144 : 128,523.75 = 128,523.75 : x
  2. Step 2: Convert to fraction form
    88,144/128,523.75 = 128,523.75/x
  3. Step 3: Cross multiply
    88,144x = 128,523.75 × 128,523.75
  4. Step 4: Simplify right side
    88,144x = 16,518,354,314.06
  5. Step 5: Solve for x
    x = 16,518,354,314.06/88,144
  6. Step 6: Final answer
    x = 187,401.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.