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Finding the Third Proportional to 318,388 and 492,702

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Solution

The third proportional to 318,388 and 492,702 is: 762,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,388 : 492,702 = 492,702 : x
  2. Step 2: Convert to fraction form
    318,388/492,702 = 492,702/x
  3. Step 3: Cross multiply
    318,388x = 492,702 × 492,702
  4. Step 4: Simplify right side
    318,388x = 242,755,260,804
  5. Step 5: Solve for x
    x = 242,755,260,804/318,388
  6. Step 6: Final answer
    x = 762,451.04

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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.