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Finding the Third Proportional to 148,977 and 319,284

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Solution

The third proportional to 148,977 and 319,284 is: 684,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,977 : 319,284 = 319,284 : x
  2. Step 2: Convert to fraction form
    148,977/319,284 = 319,284/x
  3. Step 3: Cross multiply
    148,977x = 319,284 × 319,284
  4. Step 4: Simplify right side
    148,977x = 101,942,272,656
  5. Step 5: Solve for x
    x = 101,942,272,656/148,977
  6. Step 6: Final answer
    x = 684,281.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.