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Finding the Third Proportional to 317,127 and 485,736

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Solution

The third proportional to 317,127 and 485,736 is: 743,990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,127 : 485,736 = 485,736 : x
  2. Step 2: Convert to fraction form
    317,127/485,736 = 485,736/x
  3. Step 3: Cross multiply
    317,127x = 485,736 × 485,736
  4. Step 4: Simplify right side
    317,127x = 235,939,461,696
  5. Step 5: Solve for x
    x = 235,939,461,696/317,127
  6. Step 6: Final answer
    x = 743,990.46

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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.