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Finding the Third Proportional to 308,895 and 493,318.50

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Solution

The third proportional to 308,895 and 493,318.50 is: 787,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,895 : 493,318.50 = 493,318.50 : x
  2. Step 2: Convert to fraction form
    308,895/493,318.50 = 493,318.50/x
  3. Step 3: Cross multiply
    308,895x = 493,318.50 × 493,318.50
  4. Step 4: Simplify right side
    308,895x = 243,363,142,442.25
  5. Step 5: Solve for x
    x = 243,363,142,442.25/308,895
  6. Step 6: Final answer
    x = 787,850.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.