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Finding the Third Proportional to 209,316 and 448,997

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Solution

The third proportional to 209,316 and 448,997 is: 963,128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,316 : 448,997 = 448,997 : x
  2. Step 2: Convert to fraction form
    209,316/448,997 = 448,997/x
  3. Step 3: Cross multiply
    209,316x = 448,997 × 448,997
  4. Step 4: Simplify right side
    209,316x = 201,598,306,009
  5. Step 5: Solve for x
    x = 201,598,306,009/209,316
  6. Step 6: Final answer
    x = 963,128.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.