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Finding the Third Proportional to 155,201.06 and 243,622.69

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Solution

The third proportional to 155,201.06 and 243,622.69 is: 382,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,201.06 : 243,622.69 = 243,622.69 : x
  2. Step 2: Convert to fraction form
    155,201.06/243,622.69 = 243,622.69/x
  3. Step 3: Cross multiply
    155,201.06x = 243,622.69 × 243,622.69
  4. Step 4: Simplify right side
    155,201.06x = 59,352,013,864.72
  5. Step 5: Solve for x
    x = 59,352,013,864.72/155,201.06
  6. Step 6: Final answer
    x = 382,420.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.