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Finding the Third Proportional to 428,700 and 657,876

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Solution

The third proportional to 428,700 and 657,876 is: 1,009,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,700 : 657,876 = 657,876 : x
  2. Step 2: Convert to fraction form
    428,700/657,876 = 657,876/x
  3. Step 3: Cross multiply
    428,700x = 657,876 × 657,876
  4. Step 4: Simplify right side
    428,700x = 432,800,831,376
  5. Step 5: Solve for x
    x = 432,800,831,376/428,700
  6. Step 6: Final answer
    x = 1,009,565.74

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Why These Related Problems?

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