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Finding the Third Proportional to 212,008 and 430,168

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Solution

The third proportional to 212,008 and 430,168 is: 872,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,008 : 430,168 = 430,168 : x
  2. Step 2: Convert to fraction form
    212,008/430,168 = 430,168/x
  3. Step 3: Cross multiply
    212,008x = 430,168 × 430,168
  4. Step 4: Simplify right side
    212,008x = 185,044,508,224
  5. Step 5: Solve for x
    x = 185,044,508,224/212,008
  6. Step 6: Final answer
    x = 872,818.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.