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Finding the Third Proportional to 343,388 and 504,807

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Solution

The third proportional to 343,388 and 504,807 is: 742,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,388 : 504,807 = 504,807 : x
  2. Step 2: Convert to fraction form
    343,388/504,807 = 504,807/x
  3. Step 3: Cross multiply
    343,388x = 504,807 × 504,807
  4. Step 4: Simplify right side
    343,388x = 254,830,107,249
  5. Step 5: Solve for x
    x = 254,830,107,249/343,388
  6. Step 6: Final answer
    x = 742,105.45

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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.