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Finding the Third Proportional to 520,559 and 787,399

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Solution

The third proportional to 520,559 and 787,399 is: 1,191,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,559 : 787,399 = 787,399 : x
  2. Step 2: Convert to fraction form
    520,559/787,399 = 787,399/x
  3. Step 3: Cross multiply
    520,559x = 787,399 × 787,399
  4. Step 4: Simplify right side
    520,559x = 619,997,185,201
  5. Step 5: Solve for x
    x = 619,997,185,201/520,559
  6. Step 6: Final answer
    x = 1,191,021.93

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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.