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Finding the Third Proportional to 210,820 and 273,583

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Solution

The third proportional to 210,820 and 273,583 is: 355,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,820 : 273,583 = 273,583 : x
  2. Step 2: Convert to fraction form
    210,820/273,583 = 273,583/x
  3. Step 3: Cross multiply
    210,820x = 273,583 × 273,583
  4. Step 4: Simplify right side
    210,820x = 74,847,657,889
  5. Step 5: Solve for x
    x = 74,847,657,889/210,820
  6. Step 6: Final answer
    x = 355,031.11

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.