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Finding the Third Proportional to 320,419.13 and 498,124.69

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Solution

The third proportional to 320,419.13 and 498,124.69 is: 774,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,419.13 : 498,124.69 = 498,124.69 : x
  2. Step 2: Convert to fraction form
    320,419.13/498,124.69 = 498,124.69/x
  3. Step 3: Cross multiply
    320,419.13x = 498,124.69 × 498,124.69
  4. Step 4: Simplify right side
    320,419.13x = 248,128,204,296.97
  5. Step 5: Solve for x
    x = 248,128,204,296.97/320,419.13
  6. Step 6: Final answer
    x = 774,386.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.