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Finding the Third Proportional to 450,102 and 670,291

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Solution

The third proportional to 450,102 and 670,291 is: 998,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,102 : 670,291 = 670,291 : x
  2. Step 2: Convert to fraction form
    450,102/670,291 = 670,291/x
  3. Step 3: Cross multiply
    450,102x = 670,291 × 670,291
  4. Step 4: Simplify right side
    450,102x = 449,290,024,681
  5. Step 5: Solve for x
    x = 449,290,024,681/450,102
  6. Step 6: Final answer
    x = 998,196.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.