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Finding the Third Proportional to 349,905 and 766,345

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Solution

The third proportional to 349,905 and 766,345 is: 1,678,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,905 : 766,345 = 766,345 : x
  2. Step 2: Convert to fraction form
    349,905/766,345 = 766,345/x
  3. Step 3: Cross multiply
    349,905x = 766,345 × 766,345
  4. Step 4: Simplify right side
    349,905x = 587,284,659,025
  5. Step 5: Solve for x
    x = 587,284,659,025/349,905
  6. Step 6: Final answer
    x = 1,678,411.74

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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.