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Finding the Third Proportional to 520,546.50 and 787,384.13

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Solution

The third proportional to 520,546.50 and 787,384.13 is: 1,191,005.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,546.50 : 787,384.13 = 787,384.13 : x
  2. Step 2: Convert to fraction form
    520,546.50/787,384.13 = 787,384.13/x
  3. Step 3: Cross multiply
    520,546.50x = 787,384.13 × 787,384.13
  4. Step 4: Simplify right side
    520,546.50x = 619,973,760,302.02
  5. Step 5: Solve for x
    x = 619,973,760,302.02/520,546.50
  6. Step 6: Final answer
    x = 1,191,005.53

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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.