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Finding the Third Proportional to 102,638.25 and 153,544.50

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Solution

The third proportional to 102,638.25 and 153,544.50 is: 229,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,638.25 : 153,544.50 = 153,544.50 : x
  2. Step 2: Convert to fraction form
    102,638.25/153,544.50 = 153,544.50/x
  3. Step 3: Cross multiply
    102,638.25x = 153,544.50 × 153,544.50
  4. Step 4: Simplify right side
    102,638.25x = 23,575,913,480.25
  5. Step 5: Solve for x
    x = 23,575,913,480.25/102,638.25
  6. Step 6: Final answer
    x = 229,699.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.