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Finding the Third Proportional to 128,981.74 and 273,631.29

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Solution

The third proportional to 128,981.74 and 273,631.29 is: 580,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,981.74 : 273,631.29 = 273,631.29 : x
  2. Step 2: Convert to fraction form
    128,981.74/273,631.29 = 273,631.29/x
  3. Step 3: Cross multiply
    128,981.74x = 273,631.29 × 273,631.29
  4. Step 4: Simplify right side
    128,981.74x = 74,874,082,354.01
  5. Step 5: Solve for x
    x = 74,874,082,354.01/128,981.74
  6. Step 6: Final answer
    x = 580,501.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.