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Finding the Third Proportional to 189,988 and 405,402

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Solution

The third proportional to 189,988 and 405,402 is: 865,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,988 : 405,402 = 405,402 : x
  2. Step 2: Convert to fraction form
    189,988/405,402 = 405,402/x
  3. Step 3: Cross multiply
    189,988x = 405,402 × 405,402
  4. Step 4: Simplify right side
    189,988x = 164,350,781,604
  5. Step 5: Solve for x
    x = 164,350,781,604/189,988
  6. Step 6: Final answer
    x = 865,058.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.