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Finding the Third Proportional to 434,444 and 672,686

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Solution

The third proportional to 434,444 and 672,686 is: 1,041,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,444 : 672,686 = 672,686 : x
  2. Step 2: Convert to fraction form
    434,444/672,686 = 672,686/x
  3. Step 3: Cross multiply
    434,444x = 672,686 × 672,686
  4. Step 4: Simplify right side
    434,444x = 452,506,454,596
  5. Step 5: Solve for x
    x = 452,506,454,596/434,444
  6. Step 6: Final answer
    x = 1,041,576.02

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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.