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Finding the Third Proportional to 642,844.50 and 1,382,433

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Solution

The third proportional to 642,844.50 and 1,382,433 is: 2,972,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,844.50 : 1,382,433 = 1,382,433 : x
  2. Step 2: Convert to fraction form
    642,844.50/1,382,433 = 1,382,433/x
  3. Step 3: Cross multiply
    642,844.50x = 1,382,433 × 1,382,433
  4. Step 4: Simplify right side
    642,844.50x = 1,911,120,999,489
  5. Step 5: Solve for x
    x = 1,911,120,999,489/642,844.50
  6. Step 6: Final answer
    x = 2,972,913.36

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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.