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Finding the Third Proportional to 3,421,575 and 4,783,590

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Solution

The third proportional to 3,421,575 and 4,783,590 is: 6,687,777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421,575 : 4,783,590 = 4,783,590 : x
  2. Step 2: Convert to fraction form
    3,421,575/4,783,590 = 4,783,590/x
  3. Step 3: Cross multiply
    3,421,575x = 4,783,590 × 4,783,590
  4. Step 4: Simplify right side
    3,421,575x = 22,882,733,288,100
  5. Step 5: Solve for x
    x = 22,882,733,288,100/3,421,575
  6. Step 6: Final answer
    x = 6,687,777.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.