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Finding the Third Proportional to 158,148 and 342,520

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Solution

The third proportional to 158,148 and 342,520 is: 741,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,148 : 342,520 = 342,520 : x
  2. Step 2: Convert to fraction form
    158,148/342,520 = 342,520/x
  3. Step 3: Cross multiply
    158,148x = 342,520 × 342,520
  4. Step 4: Simplify right side
    158,148x = 117,319,950,400
  5. Step 5: Solve for x
    x = 117,319,950,400/158,148
  6. Step 6: Final answer
    x = 741,836.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.