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Finding the Third Proportional to 356,742 and 538,138

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Solution

The third proportional to 356,742 and 538,138 is: 811,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,742 : 538,138 = 538,138 : x
  2. Step 2: Convert to fraction form
    356,742/538,138 = 538,138/x
  3. Step 3: Cross multiply
    356,742x = 538,138 × 538,138
  4. Step 4: Simplify right side
    356,742x = 289,592,507,044
  5. Step 5: Solve for x
    x = 289,592,507,044/356,742
  6. Step 6: Final answer
    x = 811,770.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.