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Finding the Third Proportional to 209,807 and 316,462

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Solution

The third proportional to 209,807 and 316,462 is: 477,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,807 : 316,462 = 316,462 : x
  2. Step 2: Convert to fraction form
    209,807/316,462 = 316,462/x
  3. Step 3: Cross multiply
    209,807x = 316,462 × 316,462
  4. Step 4: Simplify right side
    209,807x = 100,148,197,444
  5. Step 5: Solve for x
    x = 100,148,197,444/209,807
  6. Step 6: Final answer
    x = 477,334.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.