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Finding the Third Proportional to 86,898 and 190,402

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Solution

The third proportional to 86,898 and 190,402 is: 417,189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,898 : 190,402 = 190,402 : x
  2. Step 2: Convert to fraction form
    86,898/190,402 = 190,402/x
  3. Step 3: Cross multiply
    86,898x = 190,402 × 190,402
  4. Step 4: Simplify right side
    86,898x = 36,252,921,604
  5. Step 5: Solve for x
    x = 36,252,921,604/86,898
  6. Step 6: Final answer
    x = 417,189.37

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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.