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Finding the Third Proportional to 458,129 and 977,102

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Solution

The third proportional to 458,129 and 977,102 is: 2,083,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,129 : 977,102 = 977,102 : x
  2. Step 2: Convert to fraction form
    458,129/977,102 = 977,102/x
  3. Step 3: Cross multiply
    458,129x = 977,102 × 977,102
  4. Step 4: Simplify right side
    458,129x = 954,728,318,404
  5. Step 5: Solve for x
    x = 954,728,318,404/458,129
  6. Step 6: Final answer
    x = 2,083,972.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.