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Finding the Third Proportional to 202,072.50 and 316,068.75

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Solution

The third proportional to 202,072.50 and 316,068.75 is: 494,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,072.50 : 316,068.75 = 316,068.75 : x
  2. Step 2: Convert to fraction form
    202,072.50/316,068.75 = 316,068.75/x
  3. Step 3: Cross multiply
    202,072.50x = 316,068.75 × 316,068.75
  4. Step 4: Simplify right side
    202,072.50x = 99,899,454,726.56
  5. Step 5: Solve for x
    x = 99,899,454,726.56/202,072.50
  6. Step 6: Final answer
    x = 494,374.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.