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Finding the Third Proportional to 434,602 and 672,369

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Solution

The third proportional to 434,602 and 672,369 is: 1,040,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,602 : 672,369 = 672,369 : x
  2. Step 2: Convert to fraction form
    434,602/672,369 = 672,369/x
  3. Step 3: Cross multiply
    434,602x = 672,369 × 672,369
  4. Step 4: Simplify right side
    434,602x = 452,080,072,161
  5. Step 5: Solve for x
    x = 452,080,072,161/434,602
  6. Step 6: Final answer
    x = 1,040,216.27

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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.