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Finding the Third Proportional to 256,280.25 and 390,741.75

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Solution

The third proportional to 256,280.25 and 390,741.75 is: 595,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,280.25 : 390,741.75 = 390,741.75 : x
  2. Step 2: Convert to fraction form
    256,280.25/390,741.75 = 390,741.75/x
  3. Step 3: Cross multiply
    256,280.25x = 390,741.75 × 390,741.75
  4. Step 4: Simplify right side
    256,280.25x = 152,679,115,193.06
  5. Step 5: Solve for x
    x = 152,679,115,193.06/256,280.25
  6. Step 6: Final answer
    x = 595,750.61

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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.