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Finding the Third Proportional to 357,629 and 781,692

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Solution

The third proportional to 357,629 and 781,692 is: 1,708,592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,629 : 781,692 = 781,692 : x
  2. Step 2: Convert to fraction form
    357,629/781,692 = 781,692/x
  3. Step 3: Cross multiply
    357,629x = 781,692 × 781,692
  4. Step 4: Simplify right side
    357,629x = 611,042,382,864
  5. Step 5: Solve for x
    x = 611,042,382,864/357,629
  6. Step 6: Final answer
    x = 1,708,592.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.