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Finding the Third Proportional to 155,364.75 and 239,916.38

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Solution

The third proportional to 155,364.75 and 239,916.38 is: 370,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,364.75 : 239,916.38 = 239,916.38 : x
  2. Step 2: Convert to fraction form
    155,364.75/239,916.38 = 239,916.38/x
  3. Step 3: Cross multiply
    155,364.75x = 239,916.38 × 239,916.38
  4. Step 4: Simplify right side
    155,364.75x = 57,559,866,993.14
  5. Step 5: Solve for x
    x = 57,559,866,993.14/155,364.75
  6. Step 6: Final answer
    x = 370,482.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.