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Finding the Third Proportional to 1,290,105,855 and 1,992,191,454

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Solution

The third proportional to 1,290,105,855 and 1,992,191,454 is: 3,076,357,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,105,855 : 1,992,191,454 = 1,992,191,454 : x
  2. Step 2: Convert to fraction form
    1,290,105,855/1,992,191,454 = 1,992,191,454/x
  3. Step 3: Cross multiply
    1,290,105,855x = 1,992,191,454 × 1,992,191,454
  4. Step 4: Simplify right side
    1,290,105,855x = 3,968,826,789,390,633,984
  5. Step 5: Solve for x
    x = 3,968,826,789,390,633,984/1,290,105,855
  6. Step 6: Final answer
    x = 3,076,357,474.09

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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.