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Finding the Third Proportional to 274,398 and 390,039.75

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Solution

The third proportional to 274,398 and 390,039.75 is: 554,417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,398 : 390,039.75 = 390,039.75 : x
  2. Step 2: Convert to fraction form
    274,398/390,039.75 = 390,039.75/x
  3. Step 3: Cross multiply
    274,398x = 390,039.75 × 390,039.75
  4. Step 4: Simplify right side
    274,398x = 152,131,006,580.06
  5. Step 5: Solve for x
    x = 152,131,006,580.06/274,398
  6. Step 6: Final answer
    x = 554,417.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.