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Finding the Third Proportional to 343,460 and 505,258

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Solution

The third proportional to 343,460 and 505,258 is: 743,276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,460 : 505,258 = 505,258 : x
  2. Step 2: Convert to fraction form
    343,460/505,258 = 505,258/x
  3. Step 3: Cross multiply
    343,460x = 505,258 × 505,258
  4. Step 4: Simplify right side
    343,460x = 255,285,646,564
  5. Step 5: Solve for x
    x = 255,285,646,564/343,460
  6. Step 6: Final answer
    x = 743,276.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.