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Finding the Third Proportional to 210,958 and 317,333

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Solution

The third proportional to 210,958 and 317,333 is: 477,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,958 : 317,333 = 317,333 : x
  2. Step 2: Convert to fraction form
    210,958/317,333 = 317,333/x
  3. Step 3: Cross multiply
    210,958x = 317,333 × 317,333
  4. Step 4: Simplify right side
    210,958x = 100,700,232,889
  5. Step 5: Solve for x
    x = 100,700,232,889/210,958
  6. Step 6: Final answer
    x = 477,347.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.