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Finding the Third Proportional to 255,545.25 and 400,929.75

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Solution

The third proportional to 255,545.25 and 400,929.75 is: 629,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,545.25 : 400,929.75 = 400,929.75 : x
  2. Step 2: Convert to fraction form
    255,545.25/400,929.75 = 400,929.75/x
  3. Step 3: Cross multiply
    255,545.25x = 400,929.75 × 400,929.75
  4. Step 4: Simplify right side
    255,545.25x = 160,744,664,435.06
  5. Step 5: Solve for x
    x = 160,744,664,435.06/255,545.25
  6. Step 6: Final answer
    x = 629,026.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.