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Finding the Third Proportional to 458,058 and 997,431

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Solution

The third proportional to 458,058 and 997,431 is: 2,171,927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,058 : 997,431 = 997,431 : x
  2. Step 2: Convert to fraction form
    458,058/997,431 = 997,431/x
  3. Step 3: Cross multiply
    458,058x = 997,431 × 997,431
  4. Step 4: Simplify right side
    458,058x = 994,868,599,761
  5. Step 5: Solve for x
    x = 994,868,599,761/458,058
  6. Step 6: Final answer
    x = 2,171,927.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.