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Finding the Third Proportional to 321,705 and 423,039

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Solution

The third proportional to 321,705 and 423,039 is: 556,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,705 : 423,039 = 423,039 : x
  2. Step 2: Convert to fraction form
    321,705/423,039 = 423,039/x
  3. Step 3: Cross multiply
    321,705x = 423,039 × 423,039
  4. Step 4: Simplify right side
    321,705x = 178,961,995,521
  5. Step 5: Solve for x
    x = 178,961,995,521/321,705
  6. Step 6: Final answer
    x = 556,292.24

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.