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Finding the Third Proportional to 430,848 and 657,936

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Solution

The third proportional to 430,848 and 657,936 is: 1,004,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,848 : 657,936 = 657,936 : x
  2. Step 2: Convert to fraction form
    430,848/657,936 = 657,936/x
  3. Step 3: Cross multiply
    430,848x = 657,936 × 657,936
  4. Step 4: Simplify right side
    430,848x = 432,879,780,096
  5. Step 5: Solve for x
    x = 432,879,780,096/430,848
  6. Step 6: Final answer
    x = 1,004,715.77

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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.