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Finding the Third Proportional to 153,435.50 and 206,395.50

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Solution

The third proportional to 153,435.50 and 206,395.50 is: 277,635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,435.50 : 206,395.50 = 206,395.50 : x
  2. Step 2: Convert to fraction form
    153,435.50/206,395.50 = 206,395.50/x
  3. Step 3: Cross multiply
    153,435.50x = 206,395.50 × 206,395.50
  4. Step 4: Simplify right side
    153,435.50x = 42,599,102,420.25
  5. Step 5: Solve for x
    x = 42,599,102,420.25/153,435.50
  6. Step 6: Final answer
    x = 277,635.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.