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Finding the Third Proportional to 403,338 and 509,724

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Solution

The third proportional to 403,338 and 509,724 is: 644,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,338 : 509,724 = 509,724 : x
  2. Step 2: Convert to fraction form
    403,338/509,724 = 509,724/x
  3. Step 3: Cross multiply
    403,338x = 509,724 × 509,724
  4. Step 4: Simplify right side
    403,338x = 259,818,556,176
  5. Step 5: Solve for x
    x = 259,818,556,176/403,338
  6. Step 6: Final answer
    x = 644,170.79

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.