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Finding the Third Proportional to 211,824 and 314,087

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Solution

The third proportional to 211,824 and 314,087 is: 465,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,824 : 314,087 = 314,087 : x
  2. Step 2: Convert to fraction form
    211,824/314,087 = 314,087/x
  3. Step 3: Cross multiply
    211,824x = 314,087 × 314,087
  4. Step 4: Simplify right side
    211,824x = 98,650,643,569
  5. Step 5: Solve for x
    x = 98,650,643,569/211,824
  6. Step 6: Final answer
    x = 465,719.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.