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Finding the Third Proportional to 218,438 and 333,498

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Solution

The third proportional to 218,438 and 333,498 is: 509,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,438 : 333,498 = 333,498 : x
  2. Step 2: Convert to fraction form
    218,438/333,498 = 333,498/x
  3. Step 3: Cross multiply
    218,438x = 333,498 × 333,498
  4. Step 4: Simplify right side
    218,438x = 111,220,916,004
  5. Step 5: Solve for x
    x = 111,220,916,004/218,438
  6. Step 6: Final answer
    x = 509,164.69

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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.