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Finding the Third Proportional to 487,168 and 764,408

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Solution

The third proportional to 487,168 and 764,408 is: 1,199,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,168 : 764,408 = 764,408 : x
  2. Step 2: Convert to fraction form
    487,168/764,408 = 764,408/x
  3. Step 3: Cross multiply
    487,168x = 764,408 × 764,408
  4. Step 4: Simplify right side
    487,168x = 584,319,590,464
  5. Step 5: Solve for x
    x = 584,319,590,464/487,168
  6. Step 6: Final answer
    x = 1,199,421.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.