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Finding the Third Proportional to 420,808 and 651,894

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Solution

The third proportional to 420,808 and 651,894 is: 1,009,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,808 : 651,894 = 651,894 : x
  2. Step 2: Convert to fraction form
    420,808/651,894 = 651,894/x
  3. Step 3: Cross multiply
    420,808x = 651,894 × 651,894
  4. Step 4: Simplify right side
    420,808x = 424,965,787,236
  5. Step 5: Solve for x
    x = 424,965,787,236/420,808
  6. Step 6: Final answer
    x = 1,009,880.49

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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.