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Finding the Third Proportional to 498,976 and 781,846

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Solution

The third proportional to 498,976 and 781,846 is: 1,225,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,976 : 781,846 = 781,846 : x
  2. Step 2: Convert to fraction form
    498,976/781,846 = 781,846/x
  3. Step 3: Cross multiply
    498,976x = 781,846 × 781,846
  4. Step 4: Simplify right side
    498,976x = 611,283,167,716
  5. Step 5: Solve for x
    x = 611,283,167,716/498,976
  6. Step 6: Final answer
    x = 1,225,075.29

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.