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Finding the Third Proportional to 213,842 and 460,678

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Solution

The third proportional to 213,842 and 460,678 is: 992,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,842 : 460,678 = 460,678 : x
  2. Step 2: Convert to fraction form
    213,842/460,678 = 460,678/x
  3. Step 3: Cross multiply
    213,842x = 460,678 × 460,678
  4. Step 4: Simplify right side
    213,842x = 212,224,219,684
  5. Step 5: Solve for x
    x = 212,224,219,684/213,842
  6. Step 6: Final answer
    x = 992,434.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.