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Finding the Third Proportional to 148,520 and 319,421

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Solution

The third proportional to 148,520 and 319,421 is: 686,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,520 : 319,421 = 319,421 : x
  2. Step 2: Convert to fraction form
    148,520/319,421 = 319,421/x
  3. Step 3: Cross multiply
    148,520x = 319,421 × 319,421
  4. Step 4: Simplify right side
    148,520x = 102,029,775,241
  5. Step 5: Solve for x
    x = 102,029,775,241/148,520
  6. Step 6: Final answer
    x = 686,976.67

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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.