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Finding the Third Proportional to 455,038 and 990,783

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Solution

The third proportional to 455,038 and 990,783 is: 2,157,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,038 : 990,783 = 990,783 : x
  2. Step 2: Convert to fraction form
    455,038/990,783 = 990,783/x
  3. Step 3: Cross multiply
    455,038x = 990,783 × 990,783
  4. Step 4: Simplify right side
    455,038x = 981,650,953,089
  5. Step 5: Solve for x
    x = 981,650,953,089/455,038
  6. Step 6: Final answer
    x = 2,157,294.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.