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Finding the Third Proportional to 1,290,105,862 and 1,992,191,463

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Solution

The third proportional to 1,290,105,862 and 1,992,191,463 is: 3,076,357,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,105,862 : 1,992,191,463 = 1,992,191,463 : x
  2. Step 2: Convert to fraction form
    1,290,105,862/1,992,191,463 = 1,992,191,463/x
  3. Step 3: Cross multiply
    1,290,105,862x = 1,992,191,463 × 1,992,191,463
  4. Step 4: Simplify right side
    1,290,105,862x = 3,968,826,825,250,080,256
  5. Step 5: Solve for x
    x = 3,968,826,825,250,080,256/1,290,105,862
  6. Step 6: Final answer
    x = 3,076,357,485.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.