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Finding the Third Proportional to 356,896 and 538,368

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Solution

The third proportional to 356,896 and 538,368 is: 812,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,896 : 538,368 = 538,368 : x
  2. Step 2: Convert to fraction form
    356,896/538,368 = 538,368/x
  3. Step 3: Cross multiply
    356,896x = 538,368 × 538,368
  4. Step 4: Simplify right side
    356,896x = 289,840,103,424
  5. Step 5: Solve for x
    x = 289,840,103,424/356,896
  6. Step 6: Final answer
    x = 812,113.62

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