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Finding the Third Proportional to 461,760 and 989,220

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Solution

The third proportional to 461,760 and 989,220 is: 2,119,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,760 : 989,220 = 989,220 : x
  2. Step 2: Convert to fraction form
    461,760/989,220 = 989,220/x
  3. Step 3: Cross multiply
    461,760x = 989,220 × 989,220
  4. Step 4: Simplify right side
    461,760x = 978,556,208,400
  5. Step 5: Solve for x
    x = 978,556,208,400/461,760
  6. Step 6: Final answer
    x = 2,119,187.91

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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.