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Finding the Third Proportional to 189,068 and 412,480

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Solution

The third proportional to 189,068 and 412,480 is: 899,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,068 : 412,480 = 412,480 : x
  2. Step 2: Convert to fraction form
    189,068/412,480 = 412,480/x
  3. Step 3: Cross multiply
    189,068x = 412,480 × 412,480
  4. Step 4: Simplify right side
    189,068x = 170,139,750,400
  5. Step 5: Solve for x
    x = 170,139,750,400/189,068
  6. Step 6: Final answer
    x = 899,886.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.