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Finding the Third Proportional to 148,090 and 318,068

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Solution

The third proportional to 148,090 and 318,068 is: 683,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,090 : 318,068 = 318,068 : x
  2. Step 2: Convert to fraction form
    148,090/318,068 = 318,068/x
  3. Step 3: Cross multiply
    148,090x = 318,068 × 318,068
  4. Step 4: Simplify right side
    148,090x = 101,167,252,624
  5. Step 5: Solve for x
    x = 101,167,252,624/148,090
  6. Step 6: Final answer
    x = 683,147.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.