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Finding the Third Proportional to 84,064.50 and 128,536.88

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Solution

The third proportional to 84,064.50 and 128,536.88 is: 196,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,064.50 : 128,536.88 = 128,536.88 : x
  2. Step 2: Convert to fraction form
    84,064.50/128,536.88 = 128,536.88/x
  3. Step 3: Cross multiply
    84,064.50x = 128,536.88 × 128,536.88
  4. Step 4: Simplify right side
    84,064.50x = 16,521,728,234.77
  5. Step 5: Solve for x
    x = 16,521,728,234.77/84,064.50
  6. Step 6: Final answer
    x = 196,536.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.