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Finding the Third Proportional to 402,564 and 636,652

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Solution

The third proportional to 402,564 and 636,652 is: 1,006,860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,564 : 636,652 = 636,652 : x
  2. Step 2: Convert to fraction form
    402,564/636,652 = 636,652/x
  3. Step 3: Cross multiply
    402,564x = 636,652 × 636,652
  4. Step 4: Simplify right side
    402,564x = 405,325,769,104
  5. Step 5: Solve for x
    x = 405,325,769,104/402,564
  6. Step 6: Final answer
    x = 1,006,860.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.