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Finding the Third Proportional to 642,881,228 and 1,395,357,400

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Solution

The third proportional to 642,881,228 and 1,395,357,400 is: 3,028,587,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,881,228 : 1,395,357,400 = 1,395,357,400 : x
  2. Step 2: Convert to fraction form
    642,881,228/1,395,357,400 = 1,395,357,400/x
  3. Step 3: Cross multiply
    642,881,228x = 1,395,357,400 × 1,395,357,400
  4. Step 4: Simplify right side
    642,881,228x = 1,947,022,273,734,759,936
  5. Step 5: Solve for x
    x = 1,947,022,273,734,759,936/642,881,228
  6. Step 6: Final answer
    x = 3,028,587,846.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.