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Finding the Third Proportional to 56,430 and 120,634

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Solution

The third proportional to 56,430 and 120,634 is: 257,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,430 : 120,634 = 120,634 : x
  2. Step 2: Convert to fraction form
    56,430/120,634 = 120,634/x
  3. Step 3: Cross multiply
    56,430x = 120,634 × 120,634
  4. Step 4: Simplify right side
    56,430x = 14,552,561,956
  5. Step 5: Solve for x
    x = 14,552,561,956/56,430
  6. Step 6: Final answer
    x = 257,886.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.