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Finding the Third Proportional to 128,219.25 and 296,804.25

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Solution

The third proportional to 128,219.25 and 296,804.25 is: 687,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,219.25 : 296,804.25 = 296,804.25 : x
  2. Step 2: Convert to fraction form
    128,219.25/296,804.25 = 296,804.25/x
  3. Step 3: Cross multiply
    128,219.25x = 296,804.25 × 296,804.25
  4. Step 4: Simplify right side
    128,219.25x = 88,092,762,818.06
  5. Step 5: Solve for x
    x = 88,092,762,818.06/128,219.25
  6. Step 6: Final answer
    x = 687,047.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.