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Finding the Third Proportional to 147,730.50 and 242,707.50

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Solution

The third proportional to 147,730.50 and 242,707.50 is: 398,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,730.50 : 242,707.50 = 242,707.50 : x
  2. Step 2: Convert to fraction form
    147,730.50/242,707.50 = 242,707.50/x
  3. Step 3: Cross multiply
    147,730.50x = 242,707.50 × 242,707.50
  4. Step 4: Simplify right side
    147,730.50x = 58,906,930,556.25
  5. Step 5: Solve for x
    x = 58,906,930,556.25/147,730.50
  6. Step 6: Final answer
    x = 398,745.90

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.