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Finding the Third Proportional to 294,268 and 456,478

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Solution

The third proportional to 294,268 and 456,478 is: 708,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,268 : 456,478 = 456,478 : x
  2. Step 2: Convert to fraction form
    294,268/456,478 = 456,478/x
  3. Step 3: Cross multiply
    294,268x = 456,478 × 456,478
  4. Step 4: Simplify right side
    294,268x = 208,372,164,484
  5. Step 5: Solve for x
    x = 208,372,164,484/294,268
  6. Step 6: Final answer
    x = 708,103.38

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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.