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Finding the Third Proportional to 216,765 and 459,774

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Solution

The third proportional to 216,765 and 459,774 is: 975,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,765 : 459,774 = 459,774 : x
  2. Step 2: Convert to fraction form
    216,765/459,774 = 459,774/x
  3. Step 3: Cross multiply
    216,765x = 459,774 × 459,774
  4. Step 4: Simplify right side
    216,765x = 211,392,131,076
  5. Step 5: Solve for x
    x = 211,392,131,076/216,765
  6. Step 6: Final answer
    x = 975,213.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.