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Finding the Third Proportional to 128,613.16 and 276,980.16

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Solution

The third proportional to 128,613.16 and 276,980.16 is: 596,502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,613.16 : 276,980.16 = 276,980.16 : x
  2. Step 2: Convert to fraction form
    128,613.16/276,980.16 = 276,980.16/x
  3. Step 3: Cross multiply
    128,613.16x = 276,980.16 × 276,980.16
  4. Step 4: Simplify right side
    128,613.16x = 76,718,006,956.27
  5. Step 5: Solve for x
    x = 76,718,006,956.27/128,613.16
  6. Step 6: Final answer
    x = 596,502.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.