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Finding the Third Proportional to 358,726 and 538,940

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Solution

The third proportional to 358,726 and 538,940 is: 809,688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,726 : 538,940 = 538,940 : x
  2. Step 2: Convert to fraction form
    358,726/538,940 = 538,940/x
  3. Step 3: Cross multiply
    358,726x = 538,940 × 538,940
  4. Step 4: Simplify right side
    358,726x = 290,456,323,600
  5. Step 5: Solve for x
    x = 290,456,323,600/358,726
  6. Step 6: Final answer
    x = 809,688.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.