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Finding the Third Proportional to 780,006 and 1,676,431.50

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Solution

The third proportional to 780,006 and 1,676,431.50 is: 3,603,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,006 : 1,676,431.50 = 1,676,431.50 : x
  2. Step 2: Convert to fraction form
    780,006/1,676,431.50 = 1,676,431.50/x
  3. Step 3: Cross multiply
    780,006x = 1,676,431.50 × 1,676,431.50
  4. Step 4: Simplify right side
    780,006x = 2,810,422,574,192.25
  5. Step 5: Solve for x
    x = 2,810,422,574,192.25/780,006
  6. Step 6: Final answer
    x = 3,603,078.15

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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.