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Finding the Third Proportional to 265,943.25 and 408,766.50

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Solution

The third proportional to 265,943.25 and 408,766.50 is: 628,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,943.25 : 408,766.50 = 408,766.50 : x
  2. Step 2: Convert to fraction form
    265,943.25/408,766.50 = 408,766.50/x
  3. Step 3: Cross multiply
    265,943.25x = 408,766.50 × 408,766.50
  4. Step 4: Simplify right side
    265,943.25x = 167,090,051,522.25
  5. Step 5: Solve for x
    x = 167,090,051,522.25/265,943.25
  6. Step 6: Final answer
    x = 628,292.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.