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Finding the Third Proportional to 1,420,830 and 3,044,321

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Solution

The third proportional to 1,420,830 and 3,044,321 is: 6,522,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,830 : 3,044,321 = 3,044,321 : x
  2. Step 2: Convert to fraction form
    1,420,830/3,044,321 = 3,044,321/x
  3. Step 3: Cross multiply
    1,420,830x = 3,044,321 × 3,044,321
  4. Step 4: Simplify right side
    1,420,830x = 9,267,890,351,041
  5. Step 5: Solve for x
    x = 9,267,890,351,041/1,420,830
  6. Step 6: Final answer
    x = 6,522,870.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.