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Finding the Third Proportional to 412,026.75 and 637,902.84

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Solution

The third proportional to 412,026.75 and 637,902.84 is: 987,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,026.75 : 637,902.84 = 637,902.84 : x
  2. Step 2: Convert to fraction form
    412,026.75/637,902.84 = 637,902.84/x
  3. Step 3: Cross multiply
    412,026.75x = 637,902.84 × 637,902.84
  4. Step 4: Simplify right side
    412,026.75x = 406,920,038,064.34
  5. Step 5: Solve for x
    x = 406,920,038,064.34/412,026.75
  6. Step 6: Final answer
    x = 987,605.87

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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.