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Finding the Third Proportional to 199,512 and 430,677

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Solution

The third proportional to 199,512 and 430,677 is: 929,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,512 : 430,677 = 430,677 : x
  2. Step 2: Convert to fraction form
    199,512/430,677 = 430,677/x
  3. Step 3: Cross multiply
    199,512x = 430,677 × 430,677
  4. Step 4: Simplify right side
    199,512x = 185,482,678,329
  5. Step 5: Solve for x
    x = 185,482,678,329/199,512
  6. Step 6: Final answer
    x = 929,681.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.