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Finding the Third Proportional to 459,930 and 989,808

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Solution

The third proportional to 459,930 and 989,808 is: 2,130,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,930 : 989,808 = 989,808 : x
  2. Step 2: Convert to fraction form
    459,930/989,808 = 989,808/x
  3. Step 3: Cross multiply
    459,930x = 989,808 × 989,808
  4. Step 4: Simplify right side
    459,930x = 979,719,876,864
  5. Step 5: Solve for x
    x = 979,719,876,864/459,930
  6. Step 6: Final answer
    x = 2,130,149.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.