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Finding the Third Proportional to 211,824 and 312,807

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Solution

The third proportional to 211,824 and 312,807 is: 461,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,824 : 312,807 = 312,807 : x
  2. Step 2: Convert to fraction form
    211,824/312,807 = 312,807/x
  3. Step 3: Cross multiply
    211,824x = 312,807 × 312,807
  4. Step 4: Simplify right side
    211,824x = 97,848,219,249
  5. Step 5: Solve for x
    x = 97,848,219,249/211,824
  6. Step 6: Final answer
    x = 461,931.69

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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.