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Finding the Third Proportional to 400,157.50 and 610,399.50

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Solution

The third proportional to 400,157.50 and 610,399.50 is: 931,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,157.50 : 610,399.50 = 610,399.50 : x
  2. Step 2: Convert to fraction form
    400,157.50/610,399.50 = 610,399.50/x
  3. Step 3: Cross multiply
    400,157.50x = 610,399.50 × 610,399.50
  4. Step 4: Simplify right side
    400,157.50x = 372,587,549,600.25
  5. Step 5: Solve for x
    x = 372,587,549,600.25/400,157.50
  6. Step 6: Final answer
    x = 931,102.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.