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Finding the Third Proportional to 120,225 and 257,127

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Solution

The third proportional to 120,225 and 257,127 is: 549,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,225 : 257,127 = 257,127 : x
  2. Step 2: Convert to fraction form
    120,225/257,127 = 257,127/x
  3. Step 3: Cross multiply
    120,225x = 257,127 × 257,127
  4. Step 4: Simplify right side
    120,225x = 66,114,294,129
  5. Step 5: Solve for x
    x = 66,114,294,129/120,225
  6. Step 6: Final answer
    x = 549,921.35

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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.