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Finding the Third Proportional to 148,040 and 308,368

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Solution

The third proportional to 148,040 and 308,368 is: 642,331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,040 : 308,368 = 308,368 : x
  2. Step 2: Convert to fraction form
    148,040/308,368 = 308,368/x
  3. Step 3: Cross multiply
    148,040x = 308,368 × 308,368
  4. Step 4: Simplify right side
    148,040x = 95,090,823,424
  5. Step 5: Solve for x
    x = 95,090,823,424/148,040
  6. Step 6: Final answer
    x = 642,331.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.