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Finding the Third Proportional to 455,038 and 990,340

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Solution

The third proportional to 455,038 and 990,340 is: 2,155,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,038 : 990,340 = 990,340 : x
  2. Step 2: Convert to fraction form
    455,038/990,340 = 990,340/x
  3. Step 3: Cross multiply
    455,038x = 990,340 × 990,340
  4. Step 4: Simplify right side
    455,038x = 980,773,315,600
  5. Step 5: Solve for x
    x = 980,773,315,600/455,038
  6. Step 6: Final answer
    x = 2,155,365.74

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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.