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Finding the Third Proportional to 560,305.50 and 838,478.25

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Solution

The third proportional to 560,305.50 and 838,478.25 is: 1,254,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,305.50 : 838,478.25 = 838,478.25 : x
  2. Step 2: Convert to fraction form
    560,305.50/838,478.25 = 838,478.25/x
  3. Step 3: Cross multiply
    560,305.50x = 838,478.25 × 838,478.25
  4. Step 4: Simplify right side
    560,305.50x = 703,045,775,723.06
  5. Step 5: Solve for x
    x = 703,045,775,723.06/560,305.50
  6. Step 6: Final answer
    x = 1,254,754.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.