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Finding the Third Proportional to 256,078.50 and 387,639

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Solution

The third proportional to 256,078.50 and 387,639 is: 586,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,078.50 : 387,639 = 387,639 : x
  2. Step 2: Convert to fraction form
    256,078.50/387,639 = 387,639/x
  3. Step 3: Cross multiply
    256,078.50x = 387,639 × 387,639
  4. Step 4: Simplify right side
    256,078.50x = 150,263,994,321
  5. Step 5: Solve for x
    x = 150,263,994,321/256,078.50
  6. Step 6: Final answer
    x = 586,788.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.