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Finding the Third Proportional to 200,720 and 435,068

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Solution

The third proportional to 200,720 and 435,068 is: 943,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,720 : 435,068 = 435,068 : x
  2. Step 2: Convert to fraction form
    200,720/435,068 = 435,068/x
  3. Step 3: Cross multiply
    200,720x = 435,068 × 435,068
  4. Step 4: Simplify right side
    200,720x = 189,284,164,624
  5. Step 5: Solve for x
    x = 189,284,164,624/200,720
  6. Step 6: Final answer
    x = 943,025.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.