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Finding the Third Proportional to 189,444 and 408,402

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Solution

The third proportional to 189,444 and 408,402 is: 880,430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,444 : 408,402 = 408,402 : x
  2. Step 2: Convert to fraction form
    189,444/408,402 = 408,402/x
  3. Step 3: Cross multiply
    189,444x = 408,402 × 408,402
  4. Step 4: Simplify right side
    189,444x = 166,792,193,604
  5. Step 5: Solve for x
    x = 166,792,193,604/189,444
  6. Step 6: Final answer
    x = 880,430.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.