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Finding the Third Proportional to 209,852 and 316,774

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Solution

The third proportional to 209,852 and 316,774 is: 478,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,852 : 316,774 = 316,774 : x
  2. Step 2: Convert to fraction form
    209,852/316,774 = 316,774/x
  3. Step 3: Cross multiply
    209,852x = 316,774 × 316,774
  4. Step 4: Simplify right side
    209,852x = 100,345,767,076
  5. Step 5: Solve for x
    x = 100,345,767,076/209,852
  6. Step 6: Final answer
    x = 478,173.98

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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.