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Finding the Third Proportional to 781,680.75 and 1,693,842

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Solution

The third proportional to 781,680.75 and 1,693,842 is: 3,670,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,680.75 : 1,693,842 = 1,693,842 : x
  2. Step 2: Convert to fraction form
    781,680.75/1,693,842 = 1,693,842/x
  3. Step 3: Cross multiply
    781,680.75x = 1,693,842 × 1,693,842
  4. Step 4: Simplify right side
    781,680.75x = 2,869,100,720,964
  5. Step 5: Solve for x
    x = 2,869,100,720,964/781,680.75
  6. Step 6: Final answer
    x = 3,670,425.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.