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Finding the Third Proportional to 257,098.50 and 558,423

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Solution

The third proportional to 257,098.50 and 558,423 is: 1,212,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,098.50 : 558,423 = 558,423 : x
  2. Step 2: Convert to fraction form
    257,098.50/558,423 = 558,423/x
  3. Step 3: Cross multiply
    257,098.50x = 558,423 × 558,423
  4. Step 4: Simplify right side
    257,098.50x = 311,836,246,929
  5. Step 5: Solve for x
    x = 311,836,246,929/257,098.50
  6. Step 6: Final answer
    x = 1,212,905.74

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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.