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Finding the Third Proportional to 360,790.50 and 778,784.50

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Solution

The third proportional to 360,790.50 and 778,784.50 is: 1,681,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,790.50 : 778,784.50 = 778,784.50 : x
  2. Step 2: Convert to fraction form
    360,790.50/778,784.50 = 778,784.50/x
  3. Step 3: Cross multiply
    360,790.50x = 778,784.50 × 778,784.50
  4. Step 4: Simplify right side
    360,790.50x = 606,505,297,440.25
  5. Step 5: Solve for x
    x = 606,505,297,440.25/360,790.50
  6. Step 6: Final answer
    x = 1,681,045.64

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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.