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Finding the Third Proportional to 520,557 and 787,396

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Solution

The third proportional to 520,557 and 787,396 is: 1,191,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,557 : 787,396 = 787,396 : x
  2. Step 2: Convert to fraction form
    520,557/787,396 = 787,396/x
  3. Step 3: Cross multiply
    520,557x = 787,396 × 787,396
  4. Step 4: Simplify right side
    520,557x = 619,992,460,816
  5. Step 5: Solve for x
    x = 619,992,460,816/520,557
  6. Step 6: Final answer
    x = 1,191,017.43

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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.