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Finding the Third Proportional to 1,370,765,406 and 2,088,288,265.50

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Solution

The third proportional to 1,370,765,406 and 2,088,288,265.50 is: 3,181,396,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370,765,406 : 2,088,288,265.50 = 2,088,288,265.50 : x
  2. Step 2: Convert to fraction form
    1,370,765,406/2,088,288,265.50 = 2,088,288,265.50/x
  3. Step 3: Cross multiply
    1,370,765,406x = 2,088,288,265.50 × 2,088,288,265.50
  4. Step 4: Simplify right side
    1,370,765,406x = 4,360,947,879,824,998,400
  5. Step 5: Solve for x
    x = 4,360,947,879,824,998,400/1,370,765,406
  6. Step 6: Final answer
    x = 3,181,396,219.03

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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.