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Finding the Third Proportional to 210,423 and 450,756

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Solution

The third proportional to 210,423 and 450,756 is: 965,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,423 : 450,756 = 450,756 : x
  2. Step 2: Convert to fraction form
    210,423/450,756 = 450,756/x
  3. Step 3: Cross multiply
    210,423x = 450,756 × 450,756
  4. Step 4: Simplify right side
    210,423x = 203,180,971,536
  5. Step 5: Solve for x
    x = 203,180,971,536/210,423
  6. Step 6: Final answer
    x = 965,583.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.