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Finding the Third Proportional to 504,170 and 781,043

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Solution

The third proportional to 504,170 and 781,043 is: 1,209,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,170 : 781,043 = 781,043 : x
  2. Step 2: Convert to fraction form
    504,170/781,043 = 781,043/x
  3. Step 3: Cross multiply
    504,170x = 781,043 × 781,043
  4. Step 4: Simplify right side
    504,170x = 610,028,167,849
  5. Step 5: Solve for x
    x = 610,028,167,849/504,170
  6. Step 6: Final answer
    x = 1,209,965.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.