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Finding the Third Proportional to 317,212 and 485,865

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Solution

The third proportional to 317,212 and 485,865 is: 744,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,212 : 485,865 = 485,865 : x
  2. Step 2: Convert to fraction form
    317,212/485,865 = 485,865/x
  3. Step 3: Cross multiply
    317,212x = 485,865 × 485,865
  4. Step 4: Simplify right side
    317,212x = 236,064,798,225
  5. Step 5: Solve for x
    x = 236,064,798,225/317,212
  6. Step 6: Final answer
    x = 744,186.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.