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Finding the Third Proportional to 355,805.50 and 777,275

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Solution

The third proportional to 355,805.50 and 777,275 is: 1,697,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,805.50 : 777,275 = 777,275 : x
  2. Step 2: Convert to fraction form
    355,805.50/777,275 = 777,275/x
  3. Step 3: Cross multiply
    355,805.50x = 777,275 × 777,275
  4. Step 4: Simplify right side
    355,805.50x = 604,156,425,625
  5. Step 5: Solve for x
    x = 604,156,425,625/355,805.50
  6. Step 6: Final answer
    x = 1,697,996.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.