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Finding the Third Proportional to 343,492 and 505,288

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Solution

The third proportional to 343,492 and 505,288 is: 743,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,492 : 505,288 = 505,288 : x
  2. Step 2: Convert to fraction form
    343,492/505,288 = 505,288/x
  3. Step 3: Cross multiply
    343,492x = 505,288 × 505,288
  4. Step 4: Simplify right side
    343,492x = 255,315,962,944
  5. Step 5: Solve for x
    x = 255,315,962,944/343,492
  6. Step 6: Final answer
    x = 743,295.22

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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.