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Finding the Third Proportional to 1,388,791,862 and 2,115,746,412

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Solution

The third proportional to 1,388,791,862 and 2,115,746,412 is: 3,223,220,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388,791,862 : 2,115,746,412 = 2,115,746,412 : x
  2. Step 2: Convert to fraction form
    1,388,791,862/2,115,746,412 = 2,115,746,412/x
  3. Step 3: Cross multiply
    1,388,791,862x = 2,115,746,412 × 2,115,746,412
  4. Step 4: Simplify right side
    1,388,791,862x = 4,476,382,879,890,873,856
  5. Step 5: Solve for x
    x = 4,476,382,879,890,873,856/1,388,791,862
  6. Step 6: Final answer
    x = 3,223,220,845.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.