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Finding the Third Proportional to 520,576.88 and 787,421.25

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Solution

The third proportional to 520,576.88 and 787,421.25 is: 1,191,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,576.88 : 787,421.25 = 787,421.25 : x
  2. Step 2: Convert to fraction form
    520,576.88/787,421.25 = 787,421.25/x
  3. Step 3: Cross multiply
    520,576.88x = 787,421.25 × 787,421.25
  4. Step 4: Simplify right side
    520,576.88x = 620,032,224,951.56
  5. Step 5: Solve for x
    x = 620,032,224,951.56/520,576.88
  6. Step 6: Final answer
    x = 1,191,048.34

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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.