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Finding the Third Proportional to 189,276 and 413,970

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Solution

The third proportional to 189,276 and 413,970 is: 905,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,276 : 413,970 = 413,970 : x
  2. Step 2: Convert to fraction form
    189,276/413,970 = 413,970/x
  3. Step 3: Cross multiply
    189,276x = 413,970 × 413,970
  4. Step 4: Simplify right side
    189,276x = 171,371,160,900
  5. Step 5: Solve for x
    x = 171,371,160,900/189,276
  6. Step 6: Final answer
    x = 905,403.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.