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Finding the Third Proportional to 455,334.75 and 989,398.13

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Solution

The third proportional to 455,334.75 and 989,398.13 is: 2,149,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,334.75 : 989,398.13 = 989,398.13 : x
  2. Step 2: Convert to fraction form
    455,334.75/989,398.13 = 989,398.13/x
  3. Step 3: Cross multiply
    455,334.75x = 989,398.13 × 989,398.13
  4. Step 4: Simplify right side
    455,334.75x = 978,908,649,753.52
  5. Step 5: Solve for x
    x = 978,908,649,753.52/455,334.75
  6. Step 6: Final answer
    x = 2,149,865.89

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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.