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Finding the Third Proportional to 520,551.56 and 787,388.34

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Solution

The third proportional to 520,551.56 and 787,388.34 is: 1,191,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,551.56 : 787,388.34 = 787,388.34 : x
  2. Step 2: Convert to fraction form
    520,551.56/787,388.34 = 787,388.34/x
  3. Step 3: Cross multiply
    520,551.56x = 787,388.34 × 787,388.34
  4. Step 4: Simplify right side
    520,551.56x = 619,980,403,873.37
  5. Step 5: Solve for x
    x = 619,980,403,873.37/520,551.56
  6. Step 6: Final answer
    x = 1,191,006.71

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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.