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Finding the Third Proportional to 411,968 and 637,554

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Solution

The third proportional to 411,968 and 637,554 is: 986,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,968 : 637,554 = 637,554 : x
  2. Step 2: Convert to fraction form
    411,968/637,554 = 637,554/x
  3. Step 3: Cross multiply
    411,968x = 637,554 × 637,554
  4. Step 4: Simplify right side
    411,968x = 406,475,102,916
  5. Step 5: Solve for x
    x = 406,475,102,916/411,968
  6. Step 6: Final answer
    x = 986,666.69

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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.