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Finding the Third Proportional to 642,947.63 and 1,382,670

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Solution

The third proportional to 642,947.63 and 1,382,670 is: 2,973,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,947.63 : 1,382,670 = 1,382,670 : x
  2. Step 2: Convert to fraction form
    642,947.63/1,382,670 = 1,382,670/x
  3. Step 3: Cross multiply
    642,947.63x = 1,382,670 × 1,382,670
  4. Step 4: Simplify right side
    642,947.63x = 1,911,776,328,900
  5. Step 5: Solve for x
    x = 1,911,776,328,900/642,947.63
  6. Step 6: Final answer
    x = 2,973,455.78

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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.