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Finding the Third Proportional to 211,685 and 456,609

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Solution

The third proportional to 211,685 and 456,609 is: 984,915.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,685 : 456,609 = 456,609 : x
  2. Step 2: Convert to fraction form
    211,685/456,609 = 456,609/x
  3. Step 3: Cross multiply
    211,685x = 456,609 × 456,609
  4. Step 4: Simplify right side
    211,685x = 208,491,778,881
  5. Step 5: Solve for x
    x = 208,491,778,881/211,685
  6. Step 6: Final answer
    x = 984,915.22

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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.