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Finding the Third Proportional to 211,315.50 and 316,971

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Solution

The third proportional to 211,315.50 and 316,971 is: 475,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,315.50 : 316,971 = 316,971 : x
  2. Step 2: Convert to fraction form
    211,315.50/316,971 = 316,971/x
  3. Step 3: Cross multiply
    211,315.50x = 316,971 × 316,971
  4. Step 4: Simplify right side
    211,315.50x = 100,470,614,841
  5. Step 5: Solve for x
    x = 100,470,614,841/211,315.50
  6. Step 6: Final answer
    x = 475,453.13

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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.