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Finding the Third Proportional to 100,470 and 212,748

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Solution

The third proportional to 100,470 and 212,748 is: 450,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,470 : 212,748 = 212,748 : x
  2. Step 2: Convert to fraction form
    100,470/212,748 = 212,748/x
  3. Step 3: Cross multiply
    100,470x = 212,748 × 212,748
  4. Step 4: Simplify right side
    100,470x = 45,261,711,504
  5. Step 5: Solve for x
    x = 45,261,711,504/100,470
  6. Step 6: Final answer
    x = 450,499.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.