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Finding the Third Proportional to 211,437 and 317,088

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Solution

The third proportional to 211,437 and 317,088 is: 475,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,437 : 317,088 = 317,088 : x
  2. Step 2: Convert to fraction form
    211,437/317,088 = 317,088/x
  3. Step 3: Cross multiply
    211,437x = 317,088 × 317,088
  4. Step 4: Simplify right side
    211,437x = 100,544,799,744
  5. Step 5: Solve for x
    x = 100,544,799,744/211,437
  6. Step 6: Final answer
    x = 475,530.77

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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.