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Finding the Third Proportional to 689,971.50 and 1,047,415.50

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Solution

The third proportional to 689,971.50 and 1,047,415.50 is: 1,590,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,971.50 : 1,047,415.50 = 1,047,415.50 : x
  2. Step 2: Convert to fraction form
    689,971.50/1,047,415.50 = 1,047,415.50/x
  3. Step 3: Cross multiply
    689,971.50x = 1,047,415.50 × 1,047,415.50
  4. Step 4: Simplify right side
    689,971.50x = 1,097,079,229,640.25
  5. Step 5: Solve for x
    x = 1,097,079,229,640.25/689,971.50
  6. Step 6: Final answer
    x = 1,590,035.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.