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Finding the Third Proportional to 257,120 and 558,465

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Solution

The third proportional to 257,120 and 558,465 is: 1,212,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,120 : 558,465 = 558,465 : x
  2. Step 2: Convert to fraction form
    257,120/558,465 = 558,465/x
  3. Step 3: Cross multiply
    257,120x = 558,465 × 558,465
  4. Step 4: Simplify right side
    257,120x = 311,883,156,225
  5. Step 5: Solve for x
    x = 311,883,156,225/257,120
  6. Step 6: Final answer
    x = 1,212,986.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.