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Finding the Third Proportional to 366,120 and 788,418

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Solution

The third proportional to 366,120 and 788,418 is: 1,697,812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,120 : 788,418 = 788,418 : x
  2. Step 2: Convert to fraction form
    366,120/788,418 = 788,418/x
  3. Step 3: Cross multiply
    366,120x = 788,418 × 788,418
  4. Step 4: Simplify right side
    366,120x = 621,602,942,724
  5. Step 5: Solve for x
    x = 621,602,942,724/366,120
  6. Step 6: Final answer
    x = 1,697,812.04

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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.