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Finding the Third Proportional to 321,760 and 423,120

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Solution

The third proportional to 321,760 and 423,120 is: 556,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,760 : 423,120 = 423,120 : x
  2. Step 2: Convert to fraction form
    321,760/423,120 = 423,120/x
  3. Step 3: Cross multiply
    321,760x = 423,120 × 423,120
  4. Step 4: Simplify right side
    321,760x = 179,030,534,400
  5. Step 5: Solve for x
    x = 179,030,534,400/321,760
  6. Step 6: Final answer
    x = 556,410.16

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.