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Finding the Third Proportional to 495,558 and 787,644

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Solution

The third proportional to 495,558 and 787,644 is: 1,251,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,558 : 787,644 = 787,644 : x
  2. Step 2: Convert to fraction form
    495,558/787,644 = 787,644/x
  3. Step 3: Cross multiply
    495,558x = 787,644 × 787,644
  4. Step 4: Simplify right side
    495,558x = 620,383,070,736
  5. Step 5: Solve for x
    x = 620,383,070,736/495,558
  6. Step 6: Final answer
    x = 1,251,887.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.