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Finding the Third Proportional to 155,202 and 338,835

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Solution

The third proportional to 155,202 and 338,835 is: 739,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,202 : 338,835 = 338,835 : x
  2. Step 2: Convert to fraction form
    155,202/338,835 = 338,835/x
  3. Step 3: Cross multiply
    155,202x = 338,835 × 338,835
  4. Step 4: Simplify right side
    155,202x = 114,809,157,225
  5. Step 5: Solve for x
    x = 114,809,157,225/155,202
  6. Step 6: Final answer
    x = 739,740.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.