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Finding the Third Proportional to 348,719 and 538,851

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Solution

The third proportional to 348,719 and 538,851 is: 832,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,719 : 538,851 = 538,851 : x
  2. Step 2: Convert to fraction form
    348,719/538,851 = 538,851/x
  3. Step 3: Cross multiply
    348,719x = 538,851 × 538,851
  4. Step 4: Simplify right side
    348,719x = 290,360,400,201
  5. Step 5: Solve for x
    x = 290,360,400,201/348,719
  6. Step 6: Final answer
    x = 832,648.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.