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Finding the Third Proportional to 217,489 and 461,090

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Solution

The third proportional to 217,489 and 461,090 is: 977,539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,489 : 461,090 = 461,090 : x
  2. Step 2: Convert to fraction form
    217,489/461,090 = 461,090/x
  3. Step 3: Cross multiply
    217,489x = 461,090 × 461,090
  4. Step 4: Simplify right side
    217,489x = 212,603,988,100
  5. Step 5: Solve for x
    x = 212,603,988,100/217,489
  6. Step 6: Final answer
    x = 977,539.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.