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Finding the Third Proportional to 349,562 and 765,818

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Solution

The third proportional to 349,562 and 765,818 is: 1,677,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,562 : 765,818 = 765,818 : x
  2. Step 2: Convert to fraction form
    349,562/765,818 = 765,818/x
  3. Step 3: Cross multiply
    349,562x = 765,818 × 765,818
  4. Step 4: Simplify right side
    349,562x = 586,477,209,124
  5. Step 5: Solve for x
    x = 586,477,209,124/349,562
  6. Step 6: Final answer
    x = 1,677,748.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.