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Finding the Third Proportional to 255,215.25 and 391,746.38

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Solution

The third proportional to 255,215.25 and 391,746.38 is: 601,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,215.25 : 391,746.38 = 391,746.38 : x
  2. Step 2: Convert to fraction form
    255,215.25/391,746.38 = 391,746.38/x
  3. Step 3: Cross multiply
    255,215.25x = 391,746.38 × 391,746.38
  4. Step 4: Simplify right side
    255,215.25x = 153,465,222,325.64
  5. Step 5: Solve for x
    x = 153,465,222,325.64/255,215.25
  6. Step 6: Final answer
    x = 601,316.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.