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Finding the Third Proportional to 349,640 and 766,672

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Solution

The third proportional to 349,640 and 766,672 is: 1,681,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,640 : 766,672 = 766,672 : x
  2. Step 2: Convert to fraction form
    349,640/766,672 = 766,672/x
  3. Step 3: Cross multiply
    349,640x = 766,672 × 766,672
  4. Step 4: Simplify right side
    349,640x = 587,785,955,584
  5. Step 5: Solve for x
    x = 587,785,955,584/349,640
  6. Step 6: Final answer
    x = 1,681,117.59

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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.