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Finding the Third Proportional to 343,476 and 505,272

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Solution

The third proportional to 343,476 and 505,272 is: 743,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,476 : 505,272 = 505,272 : x
  2. Step 2: Convert to fraction form
    343,476/505,272 = 505,272/x
  3. Step 3: Cross multiply
    343,476x = 505,272 × 505,272
  4. Step 4: Simplify right side
    343,476x = 255,299,793,984
  5. Step 5: Solve for x
    x = 255,299,793,984/343,476
  6. Step 6: Final answer
    x = 743,282.77

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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.