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Finding the Third Proportional to 428,773.50 and 846,703.13

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Solution

The third proportional to 428,773.50 and 846,703.13 is: 1,671,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,773.50 : 846,703.13 = 846,703.13 : x
  2. Step 2: Convert to fraction form
    428,773.50/846,703.13 = 846,703.13/x
  3. Step 3: Cross multiply
    428,773.50x = 846,703.13 × 846,703.13
  4. Step 4: Simplify right side
    428,773.50x = 716,906,181,884.77
  5. Step 5: Solve for x
    x = 716,906,181,884.77/428,773.50
  6. Step 6: Final answer
    x = 1,671,992.75

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.