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Finding the Third Proportional to 219,607 and 321,033

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Solution

The third proportional to 219,607 and 321,033 is: 469,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,607 : 321,033 = 321,033 : x
  2. Step 2: Convert to fraction form
    219,607/321,033 = 321,033/x
  3. Step 3: Cross multiply
    219,607x = 321,033 × 321,033
  4. Step 4: Simplify right side
    219,607x = 103,062,187,089
  5. Step 5: Solve for x
    x = 103,062,187,089/219,607
  6. Step 6: Final answer
    x = 469,302.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.