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Finding the Third Proportional to 615,670.50 and 921,028.50

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Solution

The third proportional to 615,670.50 and 921,028.50 is: 1,377,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,670.50 : 921,028.50 = 921,028.50 : x
  2. Step 2: Convert to fraction form
    615,670.50/921,028.50 = 921,028.50/x
  3. Step 3: Cross multiply
    615,670.50x = 921,028.50 × 921,028.50
  4. Step 4: Simplify right side
    615,670.50x = 848,293,497,812.25
  5. Step 5: Solve for x
    x = 848,293,497,812.25/615,670.50
  6. Step 6: Final answer
    x = 1,377,836.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.