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Finding the Third Proportional to 478,599.75 and 740,976.75

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Solution

The third proportional to 478,599.75 and 740,976.75 is: 1,147,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,599.75 : 740,976.75 = 740,976.75 : x
  2. Step 2: Convert to fraction form
    478,599.75/740,976.75 = 740,976.75/x
  3. Step 3: Cross multiply
    478,599.75x = 740,976.75 × 740,976.75
  4. Step 4: Simplify right side
    478,599.75x = 549,046,544,040.56
  5. Step 5: Solve for x
    x = 549,046,544,040.56/478,599.75
  6. Step 6: Final answer
    x = 1,147,193.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.