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Finding the Third Proportional to 205,604 and 322,606

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Solution

The third proportional to 205,604 and 322,606 is: 506,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,604 : 322,606 = 322,606 : x
  2. Step 2: Convert to fraction form
    205,604/322,606 = 322,606/x
  3. Step 3: Cross multiply
    205,604x = 322,606 × 322,606
  4. Step 4: Simplify right side
    205,604x = 104,074,631,236
  5. Step 5: Solve for x
    x = 104,074,631,236/205,604
  6. Step 6: Final answer
    x = 506,189.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.