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Finding the Third Proportional to 189,004 and 272,328

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Solution

The third proportional to 189,004 and 272,328 is: 392,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,004 : 272,328 = 272,328 : x
  2. Step 2: Convert to fraction form
    189,004/272,328 = 272,328/x
  3. Step 3: Cross multiply
    189,004x = 272,328 × 272,328
  4. Step 4: Simplify right side
    189,004x = 74,162,539,584
  5. Step 5: Solve for x
    x = 74,162,539,584/189,004
  6. Step 6: Final answer
    x = 392,386.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.