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Finding the Third Proportional to 491,766 and 781,956

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Solution

The third proportional to 491,766 and 781,956 is: 1,243,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,766 : 781,956 = 781,956 : x
  2. Step 2: Convert to fraction form
    491,766/781,956 = 781,956/x
  3. Step 3: Cross multiply
    491,766x = 781,956 × 781,956
  4. Step 4: Simplify right side
    491,766x = 611,455,185,936
  5. Step 5: Solve for x
    x = 611,455,185,936/491,766
  6. Step 6: Final answer
    x = 1,243,386.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.