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Finding the Third Proportional to 437,400 and 558,900

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Solution

The third proportional to 437,400 and 558,900 is: 714,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,400 : 558,900 = 558,900 : x
  2. Step 2: Convert to fraction form
    437,400/558,900 = 558,900/x
  3. Step 3: Cross multiply
    437,400x = 558,900 × 558,900
  4. Step 4: Simplify right side
    437,400x = 312,369,210,000
  5. Step 5: Solve for x
    x = 312,369,210,000/437,400
  6. Step 6: Final answer
    x = 714,150

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.