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Finding the Third Proportional to 321,069 and 493,674

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Solution

The third proportional to 321,069 and 493,674 is: 759,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,069 : 493,674 = 493,674 : x
  2. Step 2: Convert to fraction form
    321,069/493,674 = 493,674/x
  3. Step 3: Cross multiply
    321,069x = 493,674 × 493,674
  4. Step 4: Simplify right side
    321,069x = 243,714,018,276
  5. Step 5: Solve for x
    x = 243,714,018,276/321,069
  6. Step 6: Final answer
    x = 759,070.54

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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.