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Finding the Third Proportional to 75,573.56 and 114,210.84

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Solution

The third proportional to 75,573.56 and 114,210.84 is: 172,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,573.56 : 114,210.84 = 114,210.84 : x
  2. Step 2: Convert to fraction form
    75,573.56/114,210.84 = 114,210.84/x
  3. Step 3: Cross multiply
    75,573.56x = 114,210.84 × 114,210.84
  4. Step 4: Simplify right side
    75,573.56x = 13,044,116,830.09
  5. Step 5: Solve for x
    x = 13,044,116,830.09/75,573.56
  6. Step 6: Final answer
    x = 172,601.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.