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Finding the Third Proportional to 199,125 and 315,459

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Solution

The third proportional to 199,125 and 315,459 is: 499,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,125 : 315,459 = 315,459 : x
  2. Step 2: Convert to fraction form
    199,125/315,459 = 315,459/x
  3. Step 3: Cross multiply
    199,125x = 315,459 × 315,459
  4. Step 4: Simplify right side
    199,125x = 99,514,380,681
  5. Step 5: Solve for x
    x = 99,514,380,681/199,125
  6. Step 6: Final answer
    x = 499,758.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.