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Finding the Third Proportional to 256,636.69 and 375,203.81

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Solution

The third proportional to 256,636.69 and 375,203.81 is: 548,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,636.69 : 375,203.81 = 375,203.81 : x
  2. Step 2: Convert to fraction form
    256,636.69/375,203.81 = 375,203.81/x
  3. Step 3: Cross multiply
    256,636.69x = 375,203.81 × 375,203.81
  4. Step 4: Simplify right side
    256,636.69x = 140,777,900,914.54
  5. Step 5: Solve for x
    x = 140,777,900,914.54/256,636.69
  6. Step 6: Final answer
    x = 548,549.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.