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Finding the Third Proportional to 228,617 and 488,759

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Solution

The third proportional to 228,617 and 488,759 is: 1,044,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,617 : 488,759 = 488,759 : x
  2. Step 2: Convert to fraction form
    228,617/488,759 = 488,759/x
  3. Step 3: Cross multiply
    228,617x = 488,759 × 488,759
  4. Step 4: Simplify right side
    228,617x = 238,885,360,081
  5. Step 5: Solve for x
    x = 238,885,360,081/228,617
  6. Step 6: Final answer
    x = 1,044,915.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.