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Finding the Third Proportional to 282,203 and 437,146

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Solution

The third proportional to 282,203 and 437,146 is: 677,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,203 : 437,146 = 437,146 : x
  2. Step 2: Convert to fraction form
    282,203/437,146 = 437,146/x
  3. Step 3: Cross multiply
    282,203x = 437,146 × 437,146
  4. Step 4: Simplify right side
    282,203x = 191,096,625,316
  5. Step 5: Solve for x
    x = 191,096,625,316/282,203
  6. Step 6: Final answer
    x = 677,160.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.