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Finding the Third Proportional to 642,020 and 1,366,984

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Solution

The third proportional to 642,020 and 1,366,984 is: 2,910,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,020 : 1,366,984 = 1,366,984 : x
  2. Step 2: Convert to fraction form
    642,020/1,366,984 = 1,366,984/x
  3. Step 3: Cross multiply
    642,020x = 1,366,984 × 1,366,984
  4. Step 4: Simplify right side
    642,020x = 1,868,645,256,256
  5. Step 5: Solve for x
    x = 1,868,645,256,256/642,020
  6. Step 6: Final answer
    x = 2,910,571.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.