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Finding the Third Proportional to 309,657.75 and 436,068.75

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Solution

The third proportional to 309,657.75 and 436,068.75 is: 614,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,657.75 : 436,068.75 = 436,068.75 : x
  2. Step 2: Convert to fraction form
    309,657.75/436,068.75 = 436,068.75/x
  3. Step 3: Cross multiply
    309,657.75x = 436,068.75 × 436,068.75
  4. Step 4: Simplify right side
    309,657.75x = 190,155,954,726.56
  5. Step 5: Solve for x
    x = 190,155,954,726.56/309,657.75
  6. Step 6: Final answer
    x = 614,084.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.