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Finding the Third Proportional to 211,912 and 293,784

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Solution

The third proportional to 211,912 and 293,784 is: 407,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,912 : 293,784 = 293,784 : x
  2. Step 2: Convert to fraction form
    211,912/293,784 = 293,784/x
  3. Step 3: Cross multiply
    211,912x = 293,784 × 293,784
  4. Step 4: Simplify right side
    211,912x = 86,309,038,656
  5. Step 5: Solve for x
    x = 86,309,038,656/211,912
  6. Step 6: Final answer
    x = 407,287.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.