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Finding the Third Proportional to 321,770 and 423,129

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Solution

The third proportional to 321,770 and 423,129 is: 556,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,770 : 423,129 = 423,129 : x
  2. Step 2: Convert to fraction form
    321,770/423,129 = 423,129/x
  3. Step 3: Cross multiply
    321,770x = 423,129 × 423,129
  4. Step 4: Simplify right side
    321,770x = 179,038,150,641
  5. Step 5: Solve for x
    x = 179,038,150,641/321,770
  6. Step 6: Final answer
    x = 556,416.54

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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.