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Finding the Third Proportional to 434,670 and 664,920

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Solution

The third proportional to 434,670 and 664,920 is: 1,017,136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,670 : 664,920 = 664,920 : x
  2. Step 2: Convert to fraction form
    434,670/664,920 = 664,920/x
  3. Step 3: Cross multiply
    434,670x = 664,920 × 664,920
  4. Step 4: Simplify right side
    434,670x = 442,118,606,400
  5. Step 5: Solve for x
    x = 442,118,606,400/434,670
  6. Step 6: Final answer
    x = 1,017,136.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.