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Finding the Third Proportional to 408,740 and 637,944

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Solution

The third proportional to 408,740 and 637,944 is: 995,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,740 : 637,944 = 637,944 : x
  2. Step 2: Convert to fraction form
    408,740/637,944 = 637,944/x
  3. Step 3: Cross multiply
    408,740x = 637,944 × 637,944
  4. Step 4: Simplify right side
    408,740x = 406,972,547,136
  5. Step 5: Solve for x
    x = 406,972,547,136/408,740
  6. Step 6: Final answer
    x = 995,675.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.