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Finding the Third Proportional to 486,360 and 776,969

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Solution

The third proportional to 486,360 and 776,969 is: 1,241,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,360 : 776,969 = 776,969 : x
  2. Step 2: Convert to fraction form
    486,360/776,969 = 776,969/x
  3. Step 3: Cross multiply
    486,360x = 776,969 × 776,969
  4. Step 4: Simplify right side
    486,360x = 603,680,826,961
  5. Step 5: Solve for x
    x = 603,680,826,961/486,360
  6. Step 6: Final answer
    x = 1,241,222.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.