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Finding the Third Proportional to 360,019 and 777,788

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Solution

The third proportional to 360,019 and 777,788 is: 1,680,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,019 : 777,788 = 777,788 : x
  2. Step 2: Convert to fraction form
    360,019/777,788 = 777,788/x
  3. Step 3: Cross multiply
    360,019x = 777,788 × 777,788
  4. Step 4: Simplify right side
    360,019x = 604,954,172,944
  5. Step 5: Solve for x
    x = 604,954,172,944/360,019
  6. Step 6: Final answer
    x = 1,680,339.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.