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Finding the Third Proportional to 450,452 and 979,310

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Solution

The third proportional to 450,452 and 979,310 is: 2,129,079.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,452 : 979,310 = 979,310 : x
  2. Step 2: Convert to fraction form
    450,452/979,310 = 979,310/x
  3. Step 3: Cross multiply
    450,452x = 979,310 × 979,310
  4. Step 4: Simplify right side
    450,452x = 959,048,076,100
  5. Step 5: Solve for x
    x = 959,048,076,100/450,452
  6. Step 6: Final answer
    x = 2,129,079.40

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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.