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Finding the Third Proportional to 148,170 and 319,503

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Solution

The third proportional to 148,170 and 319,503 is: 688,953.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,170 : 319,503 = 319,503 : x
  2. Step 2: Convert to fraction form
    148,170/319,503 = 319,503/x
  3. Step 3: Cross multiply
    148,170x = 319,503 × 319,503
  4. Step 4: Simplify right side
    148,170x = 102,082,167,009
  5. Step 5: Solve for x
    x = 102,082,167,009/148,170
  6. Step 6: Final answer
    x = 688,953.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.