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Finding the Third Proportional to 481,336 and 748,328

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Solution

The third proportional to 481,336 and 748,328 is: 1,163,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,336 : 748,328 = 748,328 : x
  2. Step 2: Convert to fraction form
    481,336/748,328 = 748,328/x
  3. Step 3: Cross multiply
    481,336x = 748,328 × 748,328
  4. Step 4: Simplify right side
    481,336x = 559,994,795,584
  5. Step 5: Solve for x
    x = 559,994,795,584/481,336
  6. Step 6: Final answer
    x = 1,163,417.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.