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Finding the Third Proportional to 283,800 and 439,470

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Solution

The third proportional to 283,800 and 439,470 is: 680,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,800 : 439,470 = 439,470 : x
  2. Step 2: Convert to fraction form
    283,800/439,470 = 439,470/x
  3. Step 3: Cross multiply
    283,800x = 439,470 × 439,470
  4. Step 4: Simplify right side
    283,800x = 193,133,880,900
  5. Step 5: Solve for x
    x = 193,133,880,900/283,800
  6. Step 6: Final answer
    x = 680,528.12

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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.