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Finding the Third Proportional to 575,140.50 and 1,245,489.75

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Solution

The third proportional to 575,140.50 and 1,245,489.75 is: 2,697,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,140.50 : 1,245,489.75 = 1,245,489.75 : x
  2. Step 2: Convert to fraction form
    575,140.50/1,245,489.75 = 1,245,489.75/x
  3. Step 3: Cross multiply
    575,140.50x = 1,245,489.75 × 1,245,489.75
  4. Step 4: Simplify right side
    575,140.50x = 1,551,244,717,355.06
  5. Step 5: Solve for x
    x = 1,551,244,717,355.06/575,140.50
  6. Step 6: Final answer
    x = 2,697,157.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.