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Finding the Third Proportional to 1,426,443,262 and 3,106,122,290

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Solution

The third proportional to 1,426,443,262 and 3,106,122,290 is: 6,763,672,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,443,262 : 3,106,122,290 = 3,106,122,290 : x
  2. Step 2: Convert to fraction form
    1,426,443,262/3,106,122,290 = 3,106,122,290/x
  3. Step 3: Cross multiply
    1,426,443,262x = 3,106,122,290 × 3,106,122,290
  4. Step 4: Simplify right side
    1,426,443,262x = 9,647,995,680,434,843,648
  5. Step 5: Solve for x
    x = 9,647,995,680,434,843,648/1,426,443,262
  6. Step 6: Final answer
    x = 6,763,672,932.15

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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.