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Finding the Third Proportional to 145,874 and 318,740

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Solution

The third proportional to 145,874 and 318,740 is: 696,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,874 : 318,740 = 318,740 : x
  2. Step 2: Convert to fraction form
    145,874/318,740 = 318,740/x
  3. Step 3: Cross multiply
    145,874x = 318,740 × 318,740
  4. Step 4: Simplify right side
    145,874x = 101,595,187,600
  5. Step 5: Solve for x
    x = 101,595,187,600/145,874
  6. Step 6: Final answer
    x = 696,458.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.