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Finding the Third Proportional to 515,947 and 781,723

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Solution

The third proportional to 515,947 and 781,723 is: 1,184,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,947 : 781,723 = 781,723 : x
  2. Step 2: Convert to fraction form
    515,947/781,723 = 781,723/x
  3. Step 3: Cross multiply
    515,947x = 781,723 × 781,723
  4. Step 4: Simplify right side
    515,947x = 611,090,848,729
  5. Step 5: Solve for x
    x = 611,090,848,729/515,947
  6. Step 6: Final answer
    x = 1,184,406.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.