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Finding the Third Proportional to 553,372 and 835,138

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Solution

The third proportional to 553,372 and 835,138 is: 1,260,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,372 : 835,138 = 835,138 : x
  2. Step 2: Convert to fraction form
    553,372/835,138 = 835,138/x
  3. Step 3: Cross multiply
    553,372x = 835,138 × 835,138
  4. Step 4: Simplify right side
    553,372x = 697,455,479,044
  5. Step 5: Solve for x
    x = 697,455,479,044/553,372
  6. Step 6: Final answer
    x = 1,260,373.63

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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.