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Finding the Third Proportional to 345,842 and 518,763

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Solution

The third proportional to 345,842 and 518,763 is: 778,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,842 : 518,763 = 518,763 : x
  2. Step 2: Convert to fraction form
    345,842/518,763 = 518,763/x
  3. Step 3: Cross multiply
    345,842x = 518,763 × 518,763
  4. Step 4: Simplify right side
    345,842x = 269,115,050,169
  5. Step 5: Solve for x
    x = 269,115,050,169/345,842
  6. Step 6: Final answer
    x = 778,144.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.