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Finding the Third Proportional to 389,310 and 523,818

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Solution

The third proportional to 389,310 and 523,818 is: 704,799.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,310 : 523,818 = 523,818 : x
  2. Step 2: Convert to fraction form
    389,310/523,818 = 523,818/x
  3. Step 3: Cross multiply
    389,310x = 523,818 × 523,818
  4. Step 4: Simplify right side
    389,310x = 274,385,297,124
  5. Step 5: Solve for x
    x = 274,385,297,124/389,310
  6. Step 6: Final answer
    x = 704,799.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.