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Finding the Third Proportional to 210,356 and 315,630

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Solution

The third proportional to 210,356 and 315,630 is: 473,589.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,356 : 315,630 = 315,630 : x
  2. Step 2: Convert to fraction form
    210,356/315,630 = 315,630/x
  3. Step 3: Cross multiply
    210,356x = 315,630 × 315,630
  4. Step 4: Simplify right side
    210,356x = 99,622,296,900
  5. Step 5: Solve for x
    x = 99,622,296,900/210,356
  6. Step 6: Final answer
    x = 473,589.04

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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.