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Finding the Third Proportional to 345,336 and 748,296

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Solution

The third proportional to 345,336 and 748,296 is: 1,621,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,336 : 748,296 = 748,296 : x
  2. Step 2: Convert to fraction form
    345,336/748,296 = 748,296/x
  3. Step 3: Cross multiply
    345,336x = 748,296 × 748,296
  4. Step 4: Simplify right side
    345,336x = 559,946,903,616
  5. Step 5: Solve for x
    x = 559,946,903,616/345,336
  6. Step 6: Final answer
    x = 1,621,455.35

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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.