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Finding the Third Proportional to 213,116 and 355,143

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Solution

The third proportional to 213,116 and 355,143 is: 591,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,116 : 355,143 = 355,143 : x
  2. Step 2: Convert to fraction form
    213,116/355,143 = 355,143/x
  3. Step 3: Cross multiply
    213,116x = 355,143 × 355,143
  4. Step 4: Simplify right side
    213,116x = 126,126,550,449
  5. Step 5: Solve for x
    x = 126,126,550,449/213,116
  6. Step 6: Final answer
    x = 591,821.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.