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Finding the Third Proportional to 538,128 and 832,752

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Solution

The third proportional to 538,128 and 832,752 is: 1,288,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,128 : 832,752 = 832,752 : x
  2. Step 2: Convert to fraction form
    538,128/832,752 = 832,752/x
  3. Step 3: Cross multiply
    538,128x = 832,752 × 832,752
  4. Step 4: Simplify right side
    538,128x = 693,475,893,504
  5. Step 5: Solve for x
    x = 693,475,893,504/538,128
  6. Step 6: Final answer
    x = 1,288,682.05

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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.