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Finding the Third Proportional to 103,980.38 and 212,877.70

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Solution

The third proportional to 103,980.38 and 212,877.70 is: 435,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,980.38 : 212,877.70 = 212,877.70 : x
  2. Step 2: Convert to fraction form
    103,980.38/212,877.70 = 212,877.70/x
  3. Step 3: Cross multiply
    103,980.38x = 212,877.70 × 212,877.70
  4. Step 4: Simplify right side
    103,980.38x = 45,316,916,487.78
  5. Step 5: Solve for x
    x = 45,316,916,487.78/103,980.38
  6. Step 6: Final answer
    x = 435,821.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.