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Finding the Third Proportional to 411,985.50 and 636,645

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Solution

The third proportional to 411,985.50 and 636,645 is: 983,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,985.50 : 636,645 = 636,645 : x
  2. Step 2: Convert to fraction form
    411,985.50/636,645 = 636,645/x
  3. Step 3: Cross multiply
    411,985.50x = 636,645 × 636,645
  4. Step 4: Simplify right side
    411,985.50x = 405,316,856,025
  5. Step 5: Solve for x
    x = 405,316,856,025/411,985.50
  6. Step 6: Final answer
    x = 983,813.40

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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.