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Finding the Third Proportional to 455,766 and 989,292

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Solution

The third proportional to 455,766 and 989,292 is: 2,147,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,766 : 989,292 = 989,292 : x
  2. Step 2: Convert to fraction form
    455,766/989,292 = 989,292/x
  3. Step 3: Cross multiply
    455,766x = 989,292 × 989,292
  4. Step 4: Simplify right side
    455,766x = 978,698,661,264
  5. Step 5: Solve for x
    x = 978,698,661,264/455,766
  6. Step 6: Final answer
    x = 2,147,370.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.