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Finding the Third Proportional to 158,130 and 340,438.50

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Solution

The third proportional to 158,130 and 340,438.50 is: 732,930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,130 : 340,438.50 = 340,438.50 : x
  2. Step 2: Convert to fraction form
    158,130/340,438.50 = 340,438.50/x
  3. Step 3: Cross multiply
    158,130x = 340,438.50 × 340,438.50
  4. Step 4: Simplify right side
    158,130x = 115,898,372,282.25
  5. Step 5: Solve for x
    x = 115,898,372,282.25/158,130
  6. Step 6: Final answer
    x = 732,930.96

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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.