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Finding the Third Proportional to 104,020 and 212,970

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Solution

The third proportional to 104,020 and 212,970 is: 436,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,020 : 212,970 = 212,970 : x
  2. Step 2: Convert to fraction form
    104,020/212,970 = 212,970/x
  3. Step 3: Cross multiply
    104,020x = 212,970 × 212,970
  4. Step 4: Simplify right side
    104,020x = 45,356,220,900
  5. Step 5: Solve for x
    x = 45,356,220,900/104,020
  6. Step 6: Final answer
    x = 436,033.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.