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Finding the Third Proportional to 210,360 and 430,536

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Solution

The third proportional to 210,360 and 430,536 is: 881,162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,360 : 430,536 = 430,536 : x
  2. Step 2: Convert to fraction form
    210,360/430,536 = 430,536/x
  3. Step 3: Cross multiply
    210,360x = 430,536 × 430,536
  4. Step 4: Simplify right side
    210,360x = 185,361,247,296
  5. Step 5: Solve for x
    x = 185,361,247,296/210,360
  6. Step 6: Final answer
    x = 881,162.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.