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Finding the Third Proportional to 209,574 and 321,117

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Solution

The third proportional to 209,574 and 321,117 is: 492,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,574 : 321,117 = 321,117 : x
  2. Step 2: Convert to fraction form
    209,574/321,117 = 321,117/x
  3. Step 3: Cross multiply
    209,574x = 321,117 × 321,117
  4. Step 4: Simplify right side
    209,574x = 103,116,127,689
  5. Step 5: Solve for x
    x = 103,116,127,689/209,574
  6. Step 6: Final answer
    x = 492,027.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.