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Finding the Third Proportional to 1,163,474,080 and 1,852,212,360

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Solution

The third proportional to 1,163,474,080 and 1,852,212,360 is: 2,948,660,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,474,080 : 1,852,212,360 = 1,852,212,360 : x
  2. Step 2: Convert to fraction form
    1,163,474,080/1,852,212,360 = 1,852,212,360/x
  3. Step 3: Cross multiply
    1,163,474,080x = 1,852,212,360 × 1,852,212,360
  4. Step 4: Simplify right side
    1,163,474,080x = 3,430,690,626,536,769,536
  5. Step 5: Solve for x
    x = 3,430,690,626,536,769,536/1,163,474,080
  6. Step 6: Final answer
    x = 2,948,660,984.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.