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Finding the Third Proportional to 553,383 and 846,133.50

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Solution

The third proportional to 553,383 and 846,133.50 is: 1,293,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,383 : 846,133.50 = 846,133.50 : x
  2. Step 2: Convert to fraction form
    553,383/846,133.50 = 846,133.50/x
  3. Step 3: Cross multiply
    553,383x = 846,133.50 × 846,133.50
  4. Step 4: Simplify right side
    553,383x = 715,941,899,822.25
  5. Step 5: Solve for x
    x = 715,941,899,822.25/553,383
  6. Step 6: Final answer
    x = 1,293,754.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.