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Finding the Third Proportional to 448,322 and 938,188

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Solution

The third proportional to 448,322 and 938,188 is: 1,963,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,322 : 938,188 = 938,188 : x
  2. Step 2: Convert to fraction form
    448,322/938,188 = 938,188/x
  3. Step 3: Cross multiply
    448,322x = 938,188 × 938,188
  4. Step 4: Simplify right side
    448,322x = 880,196,723,344
  5. Step 5: Solve for x
    x = 880,196,723,344/448,322
  6. Step 6: Final answer
    x = 1,963,313.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.