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Finding the Third Proportional to 495,679 and 787,808

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Solution

The third proportional to 495,679 and 787,808 is: 1,252,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,679 : 787,808 = 787,808 : x
  2. Step 2: Convert to fraction form
    495,679/787,808 = 787,808/x
  3. Step 3: Cross multiply
    495,679x = 787,808 × 787,808
  4. Step 4: Simplify right side
    495,679x = 620,641,444,864
  5. Step 5: Solve for x
    x = 620,641,444,864/495,679
  6. Step 6: Final answer
    x = 1,252,103.57

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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.