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Finding the Third Proportional to 209,931 and 453,015

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Solution

The third proportional to 209,931 and 453,015 is: 977,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,931 : 453,015 = 453,015 : x
  2. Step 2: Convert to fraction form
    209,931/453,015 = 453,015/x
  3. Step 3: Cross multiply
    209,931x = 453,015 × 453,015
  4. Step 4: Simplify right side
    209,931x = 205,222,590,225
  5. Step 5: Solve for x
    x = 205,222,590,225/209,931
  6. Step 6: Final answer
    x = 977,571.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.