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Finding the Third Proportional to 343,487 and 505,281

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Solution

The third proportional to 343,487 and 505,281 is: 743,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,487 : 505,281 = 505,281 : x
  2. Step 2: Convert to fraction form
    343,487/505,281 = 505,281/x
  3. Step 3: Cross multiply
    343,487x = 505,281 × 505,281
  4. Step 4: Simplify right side
    343,487x = 255,308,888,961
  5. Step 5: Solve for x
    x = 255,308,888,961/343,487
  6. Step 6: Final answer
    x = 743,285.45

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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.