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Finding the Third Proportional to 691,268 and 988,518

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Solution

The third proportional to 691,268 and 988,518 is: 1,413,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,268 : 988,518 = 988,518 : x
  2. Step 2: Convert to fraction form
    691,268/988,518 = 988,518/x
  3. Step 3: Cross multiply
    691,268x = 988,518 × 988,518
  4. Step 4: Simplify right side
    691,268x = 977,167,836,324
  5. Step 5: Solve for x
    x = 977,167,836,324/691,268
  6. Step 6: Final answer
    x = 1,413,587.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.