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Finding the Third Proportional to 209,712 and 333,570

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Solution

The third proportional to 209,712 and 333,570 is: 530,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,712 : 333,570 = 333,570 : x
  2. Step 2: Convert to fraction form
    209,712/333,570 = 333,570/x
  3. Step 3: Cross multiply
    209,712x = 333,570 × 333,570
  4. Step 4: Simplify right side
    209,712x = 111,268,944,900
  5. Step 5: Solve for x
    x = 111,268,944,900/209,712
  6. Step 6: Final answer
    x = 530,579.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.