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Finding the Third Proportional to 356,140 and 554,634

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Solution

The third proportional to 356,140 and 554,634 is: 863,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,140 : 554,634 = 554,634 : x
  2. Step 2: Convert to fraction form
    356,140/554,634 = 554,634/x
  3. Step 3: Cross multiply
    356,140x = 554,634 × 554,634
  4. Step 4: Simplify right side
    356,140x = 307,618,873,956
  5. Step 5: Solve for x
    x = 307,618,873,956/356,140
  6. Step 6: Final answer
    x = 863,758.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.