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Finding the Third Proportional to 245,560.50 and 369,255

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Solution

The third proportional to 245,560.50 and 369,255 is: 555,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,560.50 : 369,255 = 369,255 : x
  2. Step 2: Convert to fraction form
    245,560.50/369,255 = 369,255/x
  3. Step 3: Cross multiply
    245,560.50x = 369,255 × 369,255
  4. Step 4: Simplify right side
    245,560.50x = 136,349,255,025
  5. Step 5: Solve for x
    x = 136,349,255,025/245,560.50
  6. Step 6: Final answer
    x = 555,257.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.