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Finding the Third Proportional to 427,028 and 988,466

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Solution

The third proportional to 427,028 and 988,466 is: 2,288,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,028 : 988,466 = 988,466 : x
  2. Step 2: Convert to fraction form
    427,028/988,466 = 988,466/x
  3. Step 3: Cross multiply
    427,028x = 988,466 × 988,466
  4. Step 4: Simplify right side
    427,028x = 977,065,033,156
  5. Step 5: Solve for x
    x = 977,065,033,156/427,028
  6. Step 6: Final answer
    x = 2,288,058.47

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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.