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Finding the Third Proportional to 691,221 and 988,447

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Solution

The third proportional to 691,221 and 988,447 is: 1,413,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,221 : 988,447 = 988,447 : x
  2. Step 2: Convert to fraction form
    691,221/988,447 = 988,447/x
  3. Step 3: Cross multiply
    691,221x = 988,447 × 988,447
  4. Step 4: Simplify right side
    691,221x = 977,027,471,809
  5. Step 5: Solve for x
    x = 977,027,471,809/691,221
  6. Step 6: Final answer
    x = 1,413,480.60

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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.