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Finding the Third Proportional to 282,218 and 432,318

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Solution

The third proportional to 282,218 and 432,318 is: 662,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,218 : 432,318 = 432,318 : x
  2. Step 2: Convert to fraction form
    282,218/432,318 = 432,318/x
  3. Step 3: Cross multiply
    282,218x = 432,318 × 432,318
  4. Step 4: Simplify right side
    282,218x = 186,898,853,124
  5. Step 5: Solve for x
    x = 186,898,853,124/282,218
  6. Step 6: Final answer
    x = 662,249.94

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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.