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Finding the Third Proportional to 200,220 and 435,288

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Solution

The third proportional to 200,220 and 435,288 is: 946,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,220 : 435,288 = 435,288 : x
  2. Step 2: Convert to fraction form
    200,220/435,288 = 435,288/x
  3. Step 3: Cross multiply
    200,220x = 435,288 × 435,288
  4. Step 4: Simplify right side
    200,220x = 189,475,642,944
  5. Step 5: Solve for x
    x = 189,475,642,944/200,220
  6. Step 6: Final answer
    x = 946,337.24

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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.