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Finding the Third Proportional to 1,668,420 and 3,642,655

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Solution

The third proportional to 1,668,420 and 3,642,655 is: 7,952,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,420 : 3,642,655 = 3,642,655 : x
  2. Step 2: Convert to fraction form
    1,668,420/3,642,655 = 3,642,655/x
  3. Step 3: Cross multiply
    1,668,420x = 3,642,655 × 3,642,655
  4. Step 4: Simplify right side
    1,668,420x = 13,268,935,449,025
  5. Step 5: Solve for x
    x = 13,268,935,449,025/1,668,420
  6. Step 6: Final answer
    x = 7,952,994.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.