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Finding the Third Proportional to 427,068 and 988,558

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Solution

The third proportional to 427,068 and 988,558 is: 2,288,270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,068 : 988,558 = 988,558 : x
  2. Step 2: Convert to fraction form
    427,068/988,558 = 988,558/x
  3. Step 3: Cross multiply
    427,068x = 988,558 × 988,558
  4. Step 4: Simplify right side
    427,068x = 977,246,919,364
  5. Step 5: Solve for x
    x = 977,246,919,364/427,068
  6. Step 6: Final answer
    x = 2,288,270.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.