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Finding the Third Proportional to 455,988 and 990,696

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Solution

The third proportional to 455,988 and 990,696 is: 2,152,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,988 : 990,696 = 990,696 : x
  2. Step 2: Convert to fraction form
    455,988/990,696 = 990,696/x
  3. Step 3: Cross multiply
    455,988x = 990,696 × 990,696
  4. Step 4: Simplify right side
    455,988x = 981,478,564,416
  5. Step 5: Solve for x
    x = 981,478,564,416/455,988
  6. Step 6: Final answer
    x = 2,152,421.92

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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.