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Finding the Third Proportional to 301,692 and 447,319

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Solution

The third proportional to 301,692 and 447,319 is: 663,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,692 : 447,319 = 447,319 : x
  2. Step 2: Convert to fraction form
    301,692/447,319 = 447,319/x
  3. Step 3: Cross multiply
    301,692x = 447,319 × 447,319
  4. Step 4: Simplify right side
    301,692x = 200,094,287,761
  5. Step 5: Solve for x
    x = 200,094,287,761/301,692
  6. Step 6: Final answer
    x = 663,240.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.