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Finding the Third Proportional to 403,894 and 633,642

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Solution

The third proportional to 403,894 and 633,642 is: 994,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,894 : 633,642 = 633,642 : x
  2. Step 2: Convert to fraction form
    403,894/633,642 = 633,642/x
  3. Step 3: Cross multiply
    403,894x = 633,642 × 633,642
  4. Step 4: Simplify right side
    403,894x = 401,502,184,164
  5. Step 5: Solve for x
    x = 401,502,184,164/403,894
  6. Step 6: Final answer
    x = 994,078.11

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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.