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Finding the Third Proportional to 818,464 and 1,788,736

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Solution

The third proportional to 818,464 and 1,788,736 is: 3,909,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,464 : 1,788,736 = 1,788,736 : x
  2. Step 2: Convert to fraction form
    818,464/1,788,736 = 1,788,736/x
  3. Step 3: Cross multiply
    818,464x = 1,788,736 × 1,788,736
  4. Step 4: Simplify right side
    818,464x = 3,199,576,477,696
  5. Step 5: Solve for x
    x = 3,199,576,477,696/818,464
  6. Step 6: Final answer
    x = 3,909,245.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.