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Finding the Third Proportional to 283,830 and 380,364

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Solution

The third proportional to 283,830 and 380,364 is: 509,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,830 : 380,364 = 380,364 : x
  2. Step 2: Convert to fraction form
    283,830/380,364 = 380,364/x
  3. Step 3: Cross multiply
    283,830x = 380,364 × 380,364
  4. Step 4: Simplify right side
    283,830x = 144,676,772,496
  5. Step 5: Solve for x
    x = 144,676,772,496/283,830
  6. Step 6: Final answer
    x = 509,730.38

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.