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Finding the Third Proportional to 321,223.50 and 499,621.50

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Solution

The third proportional to 321,223.50 and 499,621.50 is: 777,096.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,223.50 : 499,621.50 = 499,621.50 : x
  2. Step 2: Convert to fraction form
    321,223.50/499,621.50 = 499,621.50/x
  3. Step 3: Cross multiply
    321,223.50x = 499,621.50 × 499,621.50
  4. Step 4: Simplify right side
    321,223.50x = 249,621,643,262.25
  5. Step 5: Solve for x
    x = 249,621,643,262.25/321,223.50
  6. Step 6: Final answer
    x = 777,096.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.