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Finding the Third Proportional to 255,498.05 and 396,739.90

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Solution

The third proportional to 255,498.05 and 396,739.90 is: 616,061.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,498.05 : 396,739.90 = 396,739.90 : x
  2. Step 2: Convert to fraction form
    255,498.05/396,739.90 = 396,739.90/x
  3. Step 3: Cross multiply
    255,498.05x = 396,739.90 × 396,739.90
  4. Step 4: Simplify right side
    255,498.05x = 157,402,547,012.20
  5. Step 5: Solve for x
    x = 157,402,547,012.20/255,498.05
  6. Step 6: Final answer
    x = 616,061.64

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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.