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Finding the Third Proportional to 205,155 and 324,580.50

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Solution

The third proportional to 205,155 and 324,580.50 is: 513,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,155 : 324,580.50 = 324,580.50 : x
  2. Step 2: Convert to fraction form
    205,155/324,580.50 = 324,580.50/x
  3. Step 3: Cross multiply
    205,155x = 324,580.50 × 324,580.50
  4. Step 4: Simplify right side
    205,155x = 105,352,500,980.25
  5. Step 5: Solve for x
    x = 105,352,500,980.25/205,155
  6. Step 6: Final answer
    x = 513,526.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.