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Finding the Third Proportional to 320,904 and 499,104

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Solution

The third proportional to 320,904 and 499,104 is: 776,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,904 : 499,104 = 499,104 : x
  2. Step 2: Convert to fraction form
    320,904/499,104 = 499,104/x
  3. Step 3: Cross multiply
    320,904x = 499,104 × 499,104
  4. Step 4: Simplify right side
    320,904x = 249,104,802,816
  5. Step 5: Solve for x
    x = 249,104,802,816/320,904
  6. Step 6: Final answer
    x = 776,259.58

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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.