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Finding the Third Proportional to 607,621.50 and 827,779.50

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Solution

The third proportional to 607,621.50 and 827,779.50 is: 1,127,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,621.50 : 827,779.50 = 827,779.50 : x
  2. Step 2: Convert to fraction form
    607,621.50/827,779.50 = 827,779.50/x
  3. Step 3: Cross multiply
    607,621.50x = 827,779.50 × 827,779.50
  4. Step 4: Simplify right side
    607,621.50x = 685,218,900,620.25
  5. Step 5: Solve for x
    x = 685,218,900,620.25/607,621.50
  6. Step 6: Final answer
    x = 1,127,706.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.