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Finding the Third Proportional to 642,949.50 and 1,382,673

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Solution

The third proportional to 642,949.50 and 1,382,673 is: 2,973,460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,949.50 : 1,382,673 = 1,382,673 : x
  2. Step 2: Convert to fraction form
    642,949.50/1,382,673 = 1,382,673/x
  3. Step 3: Cross multiply
    642,949.50x = 1,382,673 × 1,382,673
  4. Step 4: Simplify right side
    642,949.50x = 1,911,784,624,929
  5. Step 5: Solve for x
    x = 1,911,784,624,929/642,949.50
  6. Step 6: Final answer
    x = 2,973,460.01

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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.