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Finding the Third Proportional to 102,312 and 218,836

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Solution

The third proportional to 102,312 and 218,836 is: 468,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,312 : 218,836 = 218,836 : x
  2. Step 2: Convert to fraction form
    102,312/218,836 = 218,836/x
  3. Step 3: Cross multiply
    102,312x = 218,836 × 218,836
  4. Step 4: Simplify right side
    102,312x = 47,889,194,896
  5. Step 5: Solve for x
    x = 47,889,194,896/102,312
  6. Step 6: Final answer
    x = 468,070.17

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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.