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Finding the Third Proportional to 174,781.50 and 256,389

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Solution

The third proportional to 174,781.50 and 256,389 is: 376,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,781.50 : 256,389 = 256,389 : x
  2. Step 2: Convert to fraction form
    174,781.50/256,389 = 256,389/x
  3. Step 3: Cross multiply
    174,781.50x = 256,389 × 256,389
  4. Step 4: Simplify right side
    174,781.50x = 65,735,319,321
  5. Step 5: Solve for x
    x = 65,735,319,321/174,781.50
  6. Step 6: Final answer
    x = 376,099.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.