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Finding the Third Proportional to 321,012 and 480,516

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Solution

The third proportional to 321,012 and 480,516 is: 719,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,012 : 480,516 = 480,516 : x
  2. Step 2: Convert to fraction form
    321,012/480,516 = 480,516/x
  3. Step 3: Cross multiply
    321,012x = 480,516 × 480,516
  4. Step 4: Simplify right side
    321,012x = 230,895,626,256
  5. Step 5: Solve for x
    x = 230,895,626,256/321,012
  6. Step 6: Final answer
    x = 719,274.13

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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.