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Finding the Third Proportional to 343,438 and 504,858

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Solution

The third proportional to 343,438 and 504,858 is: 742,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,438 : 504,858 = 504,858 : x
  2. Step 2: Convert to fraction form
    343,438/504,858 = 504,858/x
  3. Step 3: Cross multiply
    343,438x = 504,858 × 504,858
  4. Step 4: Simplify right side
    343,438x = 254,881,600,164
  5. Step 5: Solve for x
    x = 254,881,600,164/343,438
  6. Step 6: Final answer
    x = 742,147.35

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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.