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Finding the Third Proportional to 239,957 and 555,516

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Solution

The third proportional to 239,957 and 555,516 is: 1,286,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,957 : 555,516 = 555,516 : x
  2. Step 2: Convert to fraction form
    239,957/555,516 = 555,516/x
  3. Step 3: Cross multiply
    239,957x = 555,516 × 555,516
  4. Step 4: Simplify right side
    239,957x = 308,598,026,256
  5. Step 5: Solve for x
    x = 308,598,026,256/239,957
  6. Step 6: Final answer
    x = 1,286,055.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.