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Finding the Third Proportional to 680,019 and 1,028,774.50

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Solution

The third proportional to 680,019 and 1,028,774.50 is: 1,556,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,019 : 1,028,774.50 = 1,028,774.50 : x
  2. Step 2: Convert to fraction form
    680,019/1,028,774.50 = 1,028,774.50/x
  3. Step 3: Cross multiply
    680,019x = 1,028,774.50 × 1,028,774.50
  4. Step 4: Simplify right side
    680,019x = 1,058,376,971,850.25
  5. Step 5: Solve for x
    x = 1,058,376,971,850.25/680,019
  6. Step 6: Final answer
    x = 1,556,393.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.