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Finding the Third Proportional to 153,030 and 205,245

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Solution

The third proportional to 153,030 and 205,245 is: 275,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,030 : 205,245 = 205,245 : x
  2. Step 2: Convert to fraction form
    153,030/205,245 = 205,245/x
  3. Step 3: Cross multiply
    153,030x = 205,245 × 205,245
  4. Step 4: Simplify right side
    153,030x = 42,125,510,025
  5. Step 5: Solve for x
    x = 42,125,510,025/153,030
  6. Step 6: Final answer
    x = 275,276.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.