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Finding the Third Proportional to 520,564 and 787,408

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Solution

The third proportional to 520,564 and 787,408 is: 1,191,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,564 : 787,408 = 787,408 : x
  2. Step 2: Convert to fraction form
    520,564/787,408 = 787,408/x
  3. Step 3: Cross multiply
    520,564x = 787,408 × 787,408
  4. Step 4: Simplify right side
    520,564x = 620,011,358,464
  5. Step 5: Solve for x
    x = 620,011,358,464/520,564
  6. Step 6: Final answer
    x = 1,191,037.72

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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.