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Finding the Third Proportional to 317,439 and 735,642

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Solution

The third proportional to 317,439 and 735,642 is: 1,704,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,439 : 735,642 = 735,642 : x
  2. Step 2: Convert to fraction form
    317,439/735,642 = 735,642/x
  3. Step 3: Cross multiply
    317,439x = 735,642 × 735,642
  4. Step 4: Simplify right side
    317,439x = 541,169,152,164
  5. Step 5: Solve for x
    x = 541,169,152,164/317,439
  6. Step 6: Final answer
    x = 1,704,797.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.