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Finding the Third Proportional to 478,311 and 708,231

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Solution

The third proportional to 478,311 and 708,231 is: 1,048,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,311 : 708,231 = 708,231 : x
  2. Step 2: Convert to fraction form
    478,311/708,231 = 708,231/x
  3. Step 3: Cross multiply
    478,311x = 708,231 × 708,231
  4. Step 4: Simplify right side
    478,311x = 501,591,149,361
  5. Step 5: Solve for x
    x = 501,591,149,361/478,311
  6. Step 6: Final answer
    x = 1,048,671.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.