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Finding the Third Proportional to 168,851.78 and 256,758.93

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Solution

The third proportional to 168,851.78 and 256,758.93 is: 390,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,851.78 : 256,758.93 = 256,758.93 : x
  2. Step 2: Convert to fraction form
    168,851.78/256,758.93 = 256,758.93/x
  3. Step 3: Cross multiply
    168,851.78x = 256,758.93 × 256,758.93
  4. Step 4: Simplify right side
    168,851.78x = 65,925,145,968.34
  5. Step 5: Solve for x
    x = 65,925,145,968.34/168,851.78
  6. Step 6: Final answer
    x = 390,432.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.