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Finding the Third Proportional to 400,842 and 644,706

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Solution

The third proportional to 400,842 and 644,706 is: 1,036,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,842 : 644,706 = 644,706 : x
  2. Step 2: Convert to fraction form
    400,842/644,706 = 644,706/x
  3. Step 3: Cross multiply
    400,842x = 644,706 × 644,706
  4. Step 4: Simplify right side
    400,842x = 415,645,826,436
  5. Step 5: Solve for x
    x = 415,645,826,436/400,842
  6. Step 6: Final answer
    x = 1,036,931.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.