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Finding the Third Proportional to 103,018.50 and 212,631.75

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Solution

The third proportional to 103,018.50 and 212,631.75 is: 438,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,018.50 : 212,631.75 = 212,631.75 : x
  2. Step 2: Convert to fraction form
    103,018.50/212,631.75 = 212,631.75/x
  3. Step 3: Cross multiply
    103,018.50x = 212,631.75 × 212,631.75
  4. Step 4: Simplify right side
    103,018.50x = 45,212,261,108.06
  5. Step 5: Solve for x
    x = 45,212,261,108.06/103,018.50
  6. Step 6: Final answer
    x = 438,875.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.