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Finding the Third Proportional to 168,115.50 and 256,547.25

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Solution

The third proportional to 168,115.50 and 256,547.25 is: 391,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,115.50 : 256,547.25 = 256,547.25 : x
  2. Step 2: Convert to fraction form
    168,115.50/256,547.25 = 256,547.25/x
  3. Step 3: Cross multiply
    168,115.50x = 256,547.25 × 256,547.25
  4. Step 4: Simplify right side
    168,115.50x = 65,816,491,482.56
  5. Step 5: Solve for x
    x = 65,816,491,482.56/168,115.50
  6. Step 6: Final answer
    x = 391,495.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.