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Finding the Third Proportional to 517,860 and 699,669

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Solution

The third proportional to 517,860 and 699,669 is: 945,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,860 : 699,669 = 699,669 : x
  2. Step 2: Convert to fraction form
    517,860/699,669 = 699,669/x
  3. Step 3: Cross multiply
    517,860x = 699,669 × 699,669
  4. Step 4: Simplify right side
    517,860x = 489,536,709,561
  5. Step 5: Solve for x
    x = 489,536,709,561/517,860
  6. Step 6: Final answer
    x = 945,307.05

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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.