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Finding the Third Proportional to 147,205.50 and 319,305

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Solution

The third proportional to 147,205.50 and 319,305 is: 692,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,205.50 : 319,305 = 319,305 : x
  2. Step 2: Convert to fraction form
    147,205.50/319,305 = 319,305/x
  3. Step 3: Cross multiply
    147,205.50x = 319,305 × 319,305
  4. Step 4: Simplify right side
    147,205.50x = 101,955,683,025
  5. Step 5: Solve for x
    x = 101,955,683,025/147,205.50
  6. Step 6: Final answer
    x = 692,607.84

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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.