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Finding the Third Proportional to 319,281.75 and 490,905.56

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Solution

The third proportional to 319,281.75 and 490,905.56 is: 754,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,281.75 : 490,905.56 = 490,905.56 : x
  2. Step 2: Convert to fraction form
    319,281.75/490,905.56 = 490,905.56/x
  3. Step 3: Cross multiply
    319,281.75x = 490,905.56 × 490,905.56
  4. Step 4: Simplify right side
    319,281.75x = 240,988,271,293.44
  5. Step 5: Solve for x
    x = 240,988,271,293.44/319,281.75
  6. Step 6: Final answer
    x = 754,782.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.