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Finding the Third Proportional to 148,303.50 and 319,935

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Solution

The third proportional to 148,303.50 and 319,935 is: 690,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,303.50 : 319,935 = 319,935 : x
  2. Step 2: Convert to fraction form
    148,303.50/319,935 = 319,935/x
  3. Step 3: Cross multiply
    148,303.50x = 319,935 × 319,935
  4. Step 4: Simplify right side
    148,303.50x = 102,358,404,225
  5. Step 5: Solve for x
    x = 102,358,404,225/148,303.50
  6. Step 6: Final answer
    x = 690,195.47

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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.