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Finding the Third Proportional to 315,454 and 476,944

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Solution

The third proportional to 315,454 and 476,944 is: 721,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,454 : 476,944 = 476,944 : x
  2. Step 2: Convert to fraction form
    315,454/476,944 = 476,944/x
  3. Step 3: Cross multiply
    315,454x = 476,944 × 476,944
  4. Step 4: Simplify right side
    315,454x = 227,475,579,136
  5. Step 5: Solve for x
    x = 227,475,579,136/315,454
  6. Step 6: Final answer
    x = 721,105.39

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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.