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Finding the Third Proportional to 245,344 and 365,420

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Solution

The third proportional to 245,344 and 365,420 is: 544,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,344 : 365,420 = 365,420 : x
  2. Step 2: Convert to fraction form
    245,344/365,420 = 365,420/x
  3. Step 3: Cross multiply
    245,344x = 365,420 × 365,420
  4. Step 4: Simplify right side
    245,344x = 133,531,776,400
  5. Step 5: Solve for x
    x = 133,531,776,400/245,344
  6. Step 6: Final answer
    x = 544,263.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.