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Finding the Third Proportional to 520,733.81 and 786,659.34

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Solution

The third proportional to 520,733.81 and 786,659.34 is: 1,188,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,733.81 : 786,659.34 = 786,659.34 : x
  2. Step 2: Convert to fraction form
    520,733.81/786,659.34 = 786,659.34/x
  3. Step 3: Cross multiply
    520,733.81x = 786,659.34 × 786,659.34
  4. Step 4: Simplify right side
    520,733.81x = 618,832,923,109.18
  5. Step 5: Solve for x
    x = 618,832,923,109.18/520,733.81
  6. Step 6: Final answer
    x = 1,188,386.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.