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Finding the Third Proportional to 283,770 and 623,718

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Solution

The third proportional to 283,770 and 623,718 is: 1,370,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,770 : 623,718 = 623,718 : x
  2. Step 2: Convert to fraction form
    283,770/623,718 = 623,718/x
  3. Step 3: Cross multiply
    283,770x = 623,718 × 623,718
  4. Step 4: Simplify right side
    283,770x = 389,024,143,524
  5. Step 5: Solve for x
    x = 389,024,143,524/283,770
  6. Step 6: Final answer
    x = 1,370,913.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.