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Finding the Third Proportional to 402,555 and 636,639

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Solution

The third proportional to 402,555 and 636,639 is: 1,006,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,555 : 636,639 = 636,639 : x
  2. Step 2: Convert to fraction form
    402,555/636,639 = 636,639/x
  3. Step 3: Cross multiply
    402,555x = 636,639 × 636,639
  4. Step 4: Simplify right side
    402,555x = 405,309,216,321
  5. Step 5: Solve for x
    x = 405,309,216,321/402,555
  6. Step 6: Final answer
    x = 1,006,841.84

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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.