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Finding the Third Proportional to 109,089 and 237,888

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Solution

The third proportional to 109,089 and 237,888 is: 518,757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,089 : 237,888 = 237,888 : x
  2. Step 2: Convert to fraction form
    109,089/237,888 = 237,888/x
  3. Step 3: Cross multiply
    109,089x = 237,888 × 237,888
  4. Step 4: Simplify right side
    109,089x = 56,590,700,544
  5. Step 5: Solve for x
    x = 56,590,700,544/109,089
  6. Step 6: Final answer
    x = 518,757.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.