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Finding the Third Proportional to 411,977.25 and 637,567.88

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Solution

The third proportional to 411,977.25 and 637,567.88 is: 986,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,977.25 : 637,567.88 = 637,567.88 : x
  2. Step 2: Convert to fraction form
    411,977.25/637,567.88 = 637,567.88/x
  3. Step 3: Cross multiply
    411,977.25x = 637,567.88 × 637,567.88
  4. Step 4: Simplify right side
    411,977.25x = 406,492,795,232.02
  5. Step 5: Solve for x
    x = 406,492,795,232.02/411,977.25
  6. Step 6: Final answer
    x = 986,687.48

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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.