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Finding the Third Proportional to 242,538.75 and 515,695.50

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Solution

The third proportional to 242,538.75 and 515,695.50 is: 1,096,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,538.75 : 515,695.50 = 515,695.50 : x
  2. Step 2: Convert to fraction form
    242,538.75/515,695.50 = 515,695.50/x
  3. Step 3: Cross multiply
    242,538.75x = 515,695.50 × 515,695.50
  4. Step 4: Simplify right side
    242,538.75x = 265,941,848,720.25
  5. Step 5: Solve for x
    x = 265,941,848,720.25/242,538.75
  6. Step 6: Final answer
    x = 1,096,492.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.