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Finding the Third Proportional to 347,456 and 518,148

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Solution

The third proportional to 347,456 and 518,148 is: 772,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,456 : 518,148 = 518,148 : x
  2. Step 2: Convert to fraction form
    347,456/518,148 = 518,148/x
  3. Step 3: Cross multiply
    347,456x = 518,148 × 518,148
  4. Step 4: Simplify right side
    347,456x = 268,477,349,904
  5. Step 5: Solve for x
    x = 268,477,349,904/347,456
  6. Step 6: Final answer
    x = 772,694.53

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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.