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Finding the Third Proportional to 274,329 and 438,071

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Solution

The third proportional to 274,329 and 438,071 is: 699,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,329 : 438,071 = 438,071 : x
  2. Step 2: Convert to fraction form
    274,329/438,071 = 438,071/x
  3. Step 3: Cross multiply
    274,329x = 438,071 × 438,071
  4. Step 4: Simplify right side
    274,329x = 191,906,201,041
  5. Step 5: Solve for x
    x = 191,906,201,041/274,329
  6. Step 6: Final answer
    x = 699,547.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.