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Finding the Third Proportional to 118,207.69 and 256,509.28

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Solution

The third proportional to 118,207.69 and 256,509.28 is: 556,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,207.69 : 256,509.28 = 256,509.28 : x
  2. Step 2: Convert to fraction form
    118,207.69/256,509.28 = 256,509.28/x
  3. Step 3: Cross multiply
    118,207.69x = 256,509.28 × 256,509.28
  4. Step 4: Simplify right side
    118,207.69x = 65,797,011,367.39
  5. Step 5: Solve for x
    x = 65,797,011,367.39/118,207.69
  6. Step 6: Final answer
    x = 556,622.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.