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Finding the Third Proportional to 256,605.75 and 369,630

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Solution

The third proportional to 256,605.75 and 369,630 is: 532,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,605.75 : 369,630 = 369,630 : x
  2. Step 2: Convert to fraction form
    256,605.75/369,630 = 369,630/x
  3. Step 3: Cross multiply
    256,605.75x = 369,630 × 369,630
  4. Step 4: Simplify right side
    256,605.75x = 136,626,336,900
  5. Step 5: Solve for x
    x = 136,626,336,900/256,605.75
  6. Step 6: Final answer
    x = 532,436.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.