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Finding the Third Proportional to 138,543.75 and 298,275.75

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Solution

The third proportional to 138,543.75 and 298,275.75 is: 642,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,543.75 : 298,275.75 = 298,275.75 : x
  2. Step 2: Convert to fraction form
    138,543.75/298,275.75 = 298,275.75/x
  3. Step 3: Cross multiply
    138,543.75x = 298,275.75 × 298,275.75
  4. Step 4: Simplify right side
    138,543.75x = 88,968,423,038.06
  5. Step 5: Solve for x
    x = 88,968,423,038.06/138,543.75
  6. Step 6: Final answer
    x = 642,168.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.