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Finding the Third Proportional to 102,315 and 218,844

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Solution

The third proportional to 102,315 and 218,844 is: 468,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,315 : 218,844 = 218,844 : x
  2. Step 2: Convert to fraction form
    102,315/218,844 = 218,844/x
  3. Step 3: Cross multiply
    102,315x = 218,844 × 218,844
  4. Step 4: Simplify right side
    102,315x = 47,892,696,336
  5. Step 5: Solve for x
    x = 47,892,696,336/102,315
  6. Step 6: Final answer
    x = 468,090.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.