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Finding the Third Proportional to 418,322 and 646,378

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Solution

The third proportional to 418,322 and 646,378 is: 998,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,322 : 646,378 = 646,378 : x
  2. Step 2: Convert to fraction form
    418,322/646,378 = 646,378/x
  3. Step 3: Cross multiply
    418,322x = 646,378 × 646,378
  4. Step 4: Simplify right side
    418,322x = 417,804,518,884
  5. Step 5: Solve for x
    x = 417,804,518,884/418,322
  6. Step 6: Final answer
    x = 998,762.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.