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Finding the Third Proportional to 255,646.13 and 396,944.30

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Solution

The third proportional to 255,646.13 and 396,944.30 is: 616,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,646.13 : 396,944.30 = 396,944.30 : x
  2. Step 2: Convert to fraction form
    255,646.13/396,944.30 = 396,944.30/x
  3. Step 3: Cross multiply
    255,646.13x = 396,944.30 × 396,944.30
  4. Step 4: Simplify right side
    255,646.13x = 157,564,774,821.59
  5. Step 5: Solve for x
    x = 157,564,774,821.59/255,646.13
  6. Step 6: Final answer
    x = 616,339.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.