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Finding the Third Proportional to 209,574 and 331,996.50

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Solution

The third proportional to 209,574 and 331,996.50 is: 525,932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,574 : 331,996.50 = 331,996.50 : x
  2. Step 2: Convert to fraction form
    209,574/331,996.50 = 331,996.50/x
  3. Step 3: Cross multiply
    209,574x = 331,996.50 × 331,996.50
  4. Step 4: Simplify right side
    209,574x = 110,221,676,012.25
  5. Step 5: Solve for x
    x = 110,221,676,012.25/209,574
  6. Step 6: Final answer
    x = 525,932.01

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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.