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Finding the Third Proportional to 210,105 and 315,363

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Solution

The third proportional to 210,105 and 315,363 is: 473,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,105 : 315,363 = 315,363 : x
  2. Step 2: Convert to fraction form
    210,105/315,363 = 315,363/x
  3. Step 3: Cross multiply
    210,105x = 315,363 × 315,363
  4. Step 4: Simplify right side
    210,105x = 99,453,821,769
  5. Step 5: Solve for x
    x = 99,453,821,769/210,105
  6. Step 6: Final answer
    x = 473,352.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.