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Finding the Third Proportional to 455,888 and 989,050

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Solution

The third proportional to 455,888 and 989,050 is: 2,145,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,888 : 989,050 = 989,050 : x
  2. Step 2: Convert to fraction form
    455,888/989,050 = 989,050/x
  3. Step 3: Cross multiply
    455,888x = 989,050 × 989,050
  4. Step 4: Simplify right side
    455,888x = 978,219,902,500
  5. Step 5: Solve for x
    x = 978,219,902,500/455,888
  6. Step 6: Final answer
    x = 2,145,746.11

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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.