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Finding the Third Proportional to 321,124 and 500,069

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Solution

The third proportional to 321,124 and 500,069 is: 778,730.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,124 : 500,069 = 500,069 : x
  2. Step 2: Convert to fraction form
    321,124/500,069 = 500,069/x
  3. Step 3: Cross multiply
    321,124x = 500,069 × 500,069
  4. Step 4: Simplify right side
    321,124x = 250,069,004,761
  5. Step 5: Solve for x
    x = 250,069,004,761/321,124
  6. Step 6: Final answer
    x = 778,730.35

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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.