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Finding the Third Proportional to 360,039 and 777,840

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Solution

The third proportional to 360,039 and 777,840 is: 1,680,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,039 : 777,840 = 777,840 : x
  2. Step 2: Convert to fraction form
    360,039/777,840 = 777,840/x
  3. Step 3: Cross multiply
    360,039x = 777,840 × 777,840
  4. Step 4: Simplify right side
    360,039x = 605,035,065,600
  5. Step 5: Solve for x
    x = 605,035,065,600/360,039
  6. Step 6: Final answer
    x = 1,680,470.91

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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.