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Finding the Third Proportional to 434,604 and 672,372

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Solution

The third proportional to 434,604 and 672,372 is: 1,040,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,604 : 672,372 = 672,372 : x
  2. Step 2: Convert to fraction form
    434,604/672,372 = 672,372/x
  3. Step 3: Cross multiply
    434,604x = 672,372 × 672,372
  4. Step 4: Simplify right side
    434,604x = 452,084,106,384
  5. Step 5: Solve for x
    x = 452,084,106,384/434,604
  6. Step 6: Final answer
    x = 1,040,220.77

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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.