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Finding the Third Proportional to 458,057 and 997,428

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Solution

The third proportional to 458,057 and 997,428 is: 2,171,918.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,057 : 997,428 = 997,428 : x
  2. Step 2: Convert to fraction form
    458,057/997,428 = 997,428/x
  3. Step 3: Cross multiply
    458,057x = 997,428 × 997,428
  4. Step 4: Simplify right side
    458,057x = 994,862,615,184
  5. Step 5: Solve for x
    x = 994,862,615,184/458,057
  6. Step 6: Final answer
    x = 2,171,918.81

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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.