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Finding the Third Proportional to 148,504 and 319,988

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Solution

The third proportional to 148,504 and 319,988 is: 689,492.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,504 : 319,988 = 319,988 : x
  2. Step 2: Convert to fraction form
    148,504/319,988 = 319,988/x
  3. Step 3: Cross multiply
    148,504x = 319,988 × 319,988
  4. Step 4: Simplify right side
    148,504x = 102,392,320,144
  5. Step 5: Solve for x
    x = 102,392,320,144/148,504
  6. Step 6: Final answer
    x = 689,492.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.