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Finding the Third Proportional to 68,505.75 and 147,916.13

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Solution

The third proportional to 68,505.75 and 147,916.13 is: 319,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,505.75 : 147,916.13 = 147,916.13 : x
  2. Step 2: Convert to fraction form
    68,505.75/147,916.13 = 147,916.13/x
  3. Step 3: Cross multiply
    68,505.75x = 147,916.13 × 147,916.13
  4. Step 4: Simplify right side
    68,505.75x = 21,879,180,035.02
  5. Step 5: Solve for x
    x = 21,879,180,035.02/68,505.75
  6. Step 6: Final answer
    x = 319,377.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.