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Finding the Third Proportional to 317,738 and 469,213

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Solution

The third proportional to 317,738 and 469,213 is: 692,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,738 : 469,213 = 469,213 : x
  2. Step 2: Convert to fraction form
    317,738/469,213 = 469,213/x
  3. Step 3: Cross multiply
    317,738x = 469,213 × 469,213
  4. Step 4: Simplify right side
    317,738x = 220,160,839,369
  5. Step 5: Solve for x
    x = 220,160,839,369/317,738
  6. Step 6: Final answer
    x = 692,900.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.