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Finding the Third Proportional to 213,672 and 455,947

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Solution

The third proportional to 213,672 and 455,947 is: 972,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,672 : 455,947 = 455,947 : x
  2. Step 2: Convert to fraction form
    213,672/455,947 = 455,947/x
  3. Step 3: Cross multiply
    213,672x = 455,947 × 455,947
  4. Step 4: Simplify right side
    213,672x = 207,887,666,809
  5. Step 5: Solve for x
    x = 207,887,666,809/213,672
  6. Step 6: Final answer
    x = 972,928.91

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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.