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Finding the Third Proportional to 211,854 and 438,373

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Solution

The third proportional to 211,854 and 438,373 is: 907,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,854 : 438,373 = 438,373 : x
  2. Step 2: Convert to fraction form
    211,854/438,373 = 438,373/x
  3. Step 3: Cross multiply
    211,854x = 438,373 × 438,373
  4. Step 4: Simplify right side
    211,854x = 192,170,887,129
  5. Step 5: Solve for x
    x = 192,170,887,129/211,854
  6. Step 6: Final answer
    x = 907,091.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.