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Finding the Third Proportional to 345,420 and 749,880

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Solution

The third proportional to 345,420 and 749,880 is: 1,627,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,420 : 749,880 = 749,880 : x
  2. Step 2: Convert to fraction form
    345,420/749,880 = 749,880/x
  3. Step 3: Cross multiply
    345,420x = 749,880 × 749,880
  4. Step 4: Simplify right side
    345,420x = 562,320,014,400
  5. Step 5: Solve for x
    x = 562,320,014,400/345,420
  6. Step 6: Final answer
    x = 1,627,931.26

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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.