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Finding the Third Proportional to 579,697.50 and 919,928.25

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Solution

The third proportional to 579,697.50 and 919,928.25 is: 1,459,844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,697.50 : 919,928.25 = 919,928.25 : x
  2. Step 2: Convert to fraction form
    579,697.50/919,928.25 = 919,928.25/x
  3. Step 3: Cross multiply
    579,697.50x = 919,928.25 × 919,928.25
  4. Step 4: Simplify right side
    579,697.50x = 846,267,985,148.06
  5. Step 5: Solve for x
    x = 846,267,985,148.06/579,697.50
  6. Step 6: Final answer
    x = 1,459,844.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.