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Finding the Third Proportional to 448,248 and 971,168

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Solution

The third proportional to 448,248 and 971,168 is: 2,104,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,248 : 971,168 = 971,168 : x
  2. Step 2: Convert to fraction form
    448,248/971,168 = 971,168/x
  3. Step 3: Cross multiply
    448,248x = 971,168 × 971,168
  4. Step 4: Simplify right side
    448,248x = 943,167,284,224
  5. Step 5: Solve for x
    x = 943,167,284,224/448,248
  6. Step 6: Final answer
    x = 2,104,119.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.