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Finding the Third Proportional to 321,707 and 423,042

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Solution

The third proportional to 321,707 and 423,042 is: 556,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,707 : 423,042 = 423,042 : x
  2. Step 2: Convert to fraction form
    321,707/423,042 = 423,042/x
  3. Step 3: Cross multiply
    321,707x = 423,042 × 423,042
  4. Step 4: Simplify right side
    321,707x = 178,964,533,764
  5. Step 5: Solve for x
    x = 178,964,533,764/321,707
  6. Step 6: Final answer
    x = 556,296.67

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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.