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Finding the Third Proportional to 265,857.50 and 408,641

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Solution

The third proportional to 265,857.50 and 408,641 is: 628,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,857.50 : 408,641 = 408,641 : x
  2. Step 2: Convert to fraction form
    265,857.50/408,641 = 408,641/x
  3. Step 3: Cross multiply
    265,857.50x = 408,641 × 408,641
  4. Step 4: Simplify right side
    265,857.50x = 166,987,466,881
  5. Step 5: Solve for x
    x = 166,987,466,881/265,857.50
  6. Step 6: Final answer
    x = 628,108.92

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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.