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Finding the Third Proportional to 345,024 and 731,520

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Solution

The third proportional to 345,024 and 731,520 is: 1,550,968.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,024 : 731,520 = 731,520 : x
  2. Step 2: Convert to fraction form
    345,024/731,520 = 731,520/x
  3. Step 3: Cross multiply
    345,024x = 731,520 × 731,520
  4. Step 4: Simplify right side
    345,024x = 535,121,510,400
  5. Step 5: Solve for x
    x = 535,121,510,400/345,024
  6. Step 6: Final answer
    x = 1,550,968.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.