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Finding the Third Proportional to 281,133.28 and 616,979.53

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Solution

The third proportional to 281,133.28 and 616,979.53 is: 1,354,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,133.28 : 616,979.53 = 616,979.53 : x
  2. Step 2: Convert to fraction form
    281,133.28/616,979.53 = 616,979.53/x
  3. Step 3: Cross multiply
    281,133.28x = 616,979.53 × 616,979.53
  4. Step 4: Simplify right side
    281,133.28x = 380,663,741,981.47
  5. Step 5: Solve for x
    x = 380,663,741,981.47/281,133.28
  6. Step 6: Final answer
    x = 1,354,033.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.