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Finding the Third Proportional to 213,664 and 455,932

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Solution

The third proportional to 213,664 and 455,932 is: 972,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,664 : 455,932 = 455,932 : x
  2. Step 2: Convert to fraction form
    213,664/455,932 = 455,932/x
  3. Step 3: Cross multiply
    213,664x = 455,932 × 455,932
  4. Step 4: Simplify right side
    213,664x = 207,873,988,624
  5. Step 5: Solve for x
    x = 207,873,988,624/213,664
  6. Step 6: Final answer
    x = 972,901.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.