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Finding the Third Proportional to 459,980 and 633,402

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Solution

The third proportional to 459,980 and 633,402 is: 872,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,980 : 633,402 = 633,402 : x
  2. Step 2: Convert to fraction form
    459,980/633,402 = 633,402/x
  3. Step 3: Cross multiply
    459,980x = 633,402 × 633,402
  4. Step 4: Simplify right side
    459,980x = 401,198,093,604
  5. Step 5: Solve for x
    x = 401,198,093,604/459,980
  6. Step 6: Final answer
    x = 872,207.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.