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Finding the Third Proportional to 129,705.38 and 279,421.13

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Solution

The third proportional to 129,705.38 and 279,421.13 is: 601,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,705.38 : 279,421.13 = 279,421.13 : x
  2. Step 2: Convert to fraction form
    129,705.38/279,421.13 = 279,421.13/x
  3. Step 3: Cross multiply
    129,705.38x = 279,421.13 × 279,421.13
  4. Step 4: Simplify right side
    129,705.38x = 78,076,165,096.27
  5. Step 5: Solve for x
    x = 78,076,165,096.27/129,705.38
  6. Step 6: Final answer
    x = 601,950.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.