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Finding the Third Proportional to 160,281 and 342,796.50

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Solution

The third proportional to 160,281 and 342,796.50 is: 733,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,281 : 342,796.50 = 342,796.50 : x
  2. Step 2: Convert to fraction form
    160,281/342,796.50 = 342,796.50/x
  3. Step 3: Cross multiply
    160,281x = 342,796.50 × 342,796.50
  4. Step 4: Simplify right side
    160,281x = 117,509,440,412.25
  5. Step 5: Solve for x
    x = 117,509,440,412.25/160,281
  6. Step 6: Final answer
    x = 733,146.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.