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Finding the Third Proportional to 319,438.69 and 377,758.69

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Solution

The third proportional to 319,438.69 and 377,758.69 is: 446,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,438.69 : 377,758.69 = 377,758.69 : x
  2. Step 2: Convert to fraction form
    319,438.69/377,758.69 = 377,758.69/x
  3. Step 3: Cross multiply
    319,438.69x = 377,758.69 × 377,758.69
  4. Step 4: Simplify right side
    319,438.69x = 142,701,625,981.72
  5. Step 5: Solve for x
    x = 142,701,625,981.72/319,438.69
  6. Step 6: Final answer
    x = 446,726.18

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.