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Finding the Third Proportional to 201,143.25 and 418,820.63

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Solution

The third proportional to 201,143.25 and 418,820.63 is: 872,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,143.25 : 418,820.63 = 418,820.63 : x
  2. Step 2: Convert to fraction form
    201,143.25/418,820.63 = 418,820.63/x
  3. Step 3: Cross multiply
    201,143.25x = 418,820.63 × 418,820.63
  4. Step 4: Simplify right side
    201,143.25x = 175,410,715,925.39
  5. Step 5: Solve for x
    x = 175,410,715,925.39/201,143.25
  6. Step 6: Final answer
    x = 872,068.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.