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Finding the Third Proportional to 321,295.50 and 478,435.50

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Solution

The third proportional to 321,295.50 and 478,435.50 is: 712,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,295.50 : 478,435.50 = 478,435.50 : x
  2. Step 2: Convert to fraction form
    321,295.50/478,435.50 = 478,435.50/x
  3. Step 3: Cross multiply
    321,295.50x = 478,435.50 × 478,435.50
  4. Step 4: Simplify right side
    321,295.50x = 228,900,527,660.25
  5. Step 5: Solve for x
    x = 228,900,527,660.25/321,295.50
  6. Step 6: Final answer
    x = 712,429.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.