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Finding the Third Proportional to 299,346.75 and 642,980.25

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Solution

The third proportional to 299,346.75 and 642,980.25 is: 1,381,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,346.75 : 642,980.25 = 642,980.25 : x
  2. Step 2: Convert to fraction form
    299,346.75/642,980.25 = 642,980.25/x
  3. Step 3: Cross multiply
    299,346.75x = 642,980.25 × 642,980.25
  4. Step 4: Simplify right side
    299,346.75x = 413,423,601,890.06
  5. Step 5: Solve for x
    x = 413,423,601,890.06/299,346.75
  6. Step 6: Final answer
    x = 1,381,085.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.