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Finding the Third Proportional to 338,386 and 476,100.50

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Solution

The third proportional to 338,386 and 476,100.50 is: 669,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,386 : 476,100.50 = 476,100.50 : x
  2. Step 2: Convert to fraction form
    338,386/476,100.50 = 476,100.50/x
  3. Step 3: Cross multiply
    338,386x = 476,100.50 × 476,100.50
  4. Step 4: Simplify right side
    338,386x = 226,671,686,100.25
  5. Step 5: Solve for x
    x = 226,671,686,100.25/338,386
  6. Step 6: Final answer
    x = 669,861.30

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.