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Finding the Third Proportional to 118,716 and 256,158

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Solution

The third proportional to 118,716 and 256,158 is: 552,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,716 : 256,158 = 256,158 : x
  2. Step 2: Convert to fraction form
    118,716/256,158 = 256,158/x
  3. Step 3: Cross multiply
    118,716x = 256,158 × 256,158
  4. Step 4: Simplify right side
    118,716x = 65,616,920,964
  5. Step 5: Solve for x
    x = 65,616,920,964/118,716
  6. Step 6: Final answer
    x = 552,721.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.