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Finding the Third Proportional to 435,300 and 672,600

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Solution

The third proportional to 435,300 and 672,600 is: 1,039,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,300 : 672,600 = 672,600 : x
  2. Step 2: Convert to fraction form
    435,300/672,600 = 672,600/x
  3. Step 3: Cross multiply
    435,300x = 672,600 × 672,600
  4. Step 4: Simplify right side
    435,300x = 452,390,760,000
  5. Step 5: Solve for x
    x = 452,390,760,000/435,300
  6. Step 6: Final answer
    x = 1,039,262.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.