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Finding the Third Proportional to 102,670 and 146,815

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Solution

The third proportional to 102,670 and 146,815 is: 209,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,670 : 146,815 = 146,815 : x
  2. Step 2: Convert to fraction form
    102,670/146,815 = 146,815/x
  3. Step 3: Cross multiply
    102,670x = 146,815 × 146,815
  4. Step 4: Simplify right side
    102,670x = 21,554,644,225
  5. Step 5: Solve for x
    x = 21,554,644,225/102,670
  6. Step 6: Final answer
    x = 209,941.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.