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Finding the Third Proportional to 367,948 and 788,408

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Solution

The third proportional to 367,948 and 788,408 is: 1,689,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,948 : 788,408 = 788,408 : x
  2. Step 2: Convert to fraction form
    367,948/788,408 = 788,408/x
  3. Step 3: Cross multiply
    367,948x = 788,408 × 788,408
  4. Step 4: Simplify right side
    367,948x = 621,587,174,464
  5. Step 5: Solve for x
    x = 621,587,174,464/367,948
  6. Step 6: Final answer
    x = 1,689,334.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.