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Finding the Third Proportional to 690,816 and 1,485,696

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Solution

The third proportional to 690,816 and 1,485,696 is: 3,195,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,816 : 1,485,696 = 1,485,696 : x
  2. Step 2: Convert to fraction form
    690,816/1,485,696 = 1,485,696/x
  3. Step 3: Cross multiply
    690,816x = 1,485,696 × 1,485,696
  4. Step 4: Simplify right side
    690,816x = 2,207,292,604,416
  5. Step 5: Solve for x
    x = 2,207,292,604,416/690,816
  6. Step 6: Final answer
    x = 3,195,196.12

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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.