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Finding the Third Proportional to 455,477 and 648,837

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Solution

The third proportional to 455,477 and 648,837 is: 924,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,477 : 648,837 = 648,837 : x
  2. Step 2: Convert to fraction form
    455,477/648,837 = 648,837/x
  3. Step 3: Cross multiply
    455,477x = 648,837 × 648,837
  4. Step 4: Simplify right side
    455,477x = 420,989,452,569
  5. Step 5: Solve for x
    x = 420,989,452,569/455,477
  6. Step 6: Final answer
    x = 924,282.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.