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Finding the Third Proportional to 317,535 and 678,740

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Solution

The third proportional to 317,535 and 678,740 is: 1,450,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,535 : 678,740 = 678,740 : x
  2. Step 2: Convert to fraction form
    317,535/678,740 = 678,740/x
  3. Step 3: Cross multiply
    317,535x = 678,740 × 678,740
  4. Step 4: Simplify right side
    317,535x = 460,687,987,600
  5. Step 5: Solve for x
    x = 460,687,987,600/317,535
  6. Step 6: Final answer
    x = 1,450,825.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.