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Finding the Third Proportional to 400,028 and 584,240

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Solution

The third proportional to 400,028 and 584,240 is: 853,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,028 : 584,240 = 584,240 : x
  2. Step 2: Convert to fraction form
    400,028/584,240 = 584,240/x
  3. Step 3: Cross multiply
    400,028x = 584,240 × 584,240
  4. Step 4: Simplify right side
    400,028x = 341,336,377,600
  5. Step 5: Solve for x
    x = 341,336,377,600/400,028
  6. Step 6: Final answer
    x = 853,281.21

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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.