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Finding the Third Proportional to 779,988,408 and 1,587,217,268.25

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Solution

The third proportional to 779,988,408 and 1,587,217,268.25 is: 3,229,866,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,988,408 : 1,587,217,268.25 = 1,587,217,268.25 : x
  2. Step 2: Convert to fraction form
    779,988,408/1,587,217,268.25 = 1,587,217,268.25/x
  3. Step 3: Cross multiply
    779,988,408x = 1,587,217,268.25 × 1,587,217,268.25
  4. Step 4: Simplify right side
    779,988,408x = 2,519,258,656,630,992,384
  5. Step 5: Solve for x
    x = 2,519,258,656,630,992,384/779,988,408
  6. Step 6: Final answer
    x = 3,229,866,791.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.