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Finding the Third Proportional to 128,596.57 and 200,254.57

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Solution

The third proportional to 128,596.57 and 200,254.57 is: 311,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,596.57 : 200,254.57 = 200,254.57 : x
  2. Step 2: Convert to fraction form
    128,596.57/200,254.57 = 200,254.57/x
  3. Step 3: Cross multiply
    128,596.57x = 200,254.57 × 200,254.57
  4. Step 4: Simplify right side
    128,596.57x = 40,101,892,931.04
  5. Step 5: Solve for x
    x = 40,101,892,931.04/128,596.57
  6. Step 6: Final answer
    x = 311,842.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.