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Finding the Third Proportional to 145,780 and 315,740

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Solution

The third proportional to 145,780 and 315,740 is: 683,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,780 : 315,740 = 315,740 : x
  2. Step 2: Convert to fraction form
    145,780/315,740 = 315,740/x
  3. Step 3: Cross multiply
    145,780x = 315,740 × 315,740
  4. Step 4: Simplify right side
    145,780x = 99,691,747,600
  5. Step 5: Solve for x
    x = 99,691,747,600/145,780
  6. Step 6: Final answer
    x = 683,850.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.