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Finding the Third Proportional to 98,178 and 212,022

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Solution

The third proportional to 98,178 and 212,022 is: 457,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,178 : 212,022 = 212,022 : x
  2. Step 2: Convert to fraction form
    98,178/212,022 = 212,022/x
  3. Step 3: Cross multiply
    98,178x = 212,022 × 212,022
  4. Step 4: Simplify right side
    98,178x = 44,953,328,484
  5. Step 5: Solve for x
    x = 44,953,328,484/98,178
  6. Step 6: Final answer
    x = 457,875.78

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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.