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Finding the Third Proportional to 148,091 and 318,070

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Solution

The third proportional to 148,091 and 318,070 is: 683,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,091 : 318,070 = 318,070 : x
  2. Step 2: Convert to fraction form
    148,091/318,070 = 318,070/x
  3. Step 3: Cross multiply
    148,091x = 318,070 × 318,070
  4. Step 4: Simplify right side
    148,091x = 101,168,524,900
  5. Step 5: Solve for x
    x = 101,168,524,900/148,091
  6. Step 6: Final answer
    x = 683,151.07

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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.