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Finding the Third Proportional to 98,520 and 210,140

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Solution

The third proportional to 98,520 and 210,140 is: 448,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,520 : 210,140 = 210,140 : x
  2. Step 2: Convert to fraction form
    98,520/210,140 = 210,140/x
  3. Step 3: Cross multiply
    98,520x = 210,140 × 210,140
  4. Step 4: Simplify right side
    98,520x = 44,158,819,600
  5. Step 5: Solve for x
    x = 44,158,819,600/98,520
  6. Step 6: Final answer
    x = 448,221.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.