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Finding the Third Proportional to 400,108 and 604,446

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Solution

The third proportional to 400,108 and 604,446 is: 913,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,108 : 604,446 = 604,446 : x
  2. Step 2: Convert to fraction form
    400,108/604,446 = 604,446/x
  3. Step 3: Cross multiply
    400,108x = 604,446 × 604,446
  4. Step 4: Simplify right side
    400,108x = 365,354,966,916
  5. Step 5: Solve for x
    x = 365,354,966,916/400,108
  6. Step 6: Final answer
    x = 913,140.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.