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Finding the Third Proportional to 98,430 and 210,858

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Solution

The third proportional to 98,430 and 210,858 is: 451,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,430 : 210,858 = 210,858 : x
  2. Step 2: Convert to fraction form
    98,430/210,858 = 210,858/x
  3. Step 3: Cross multiply
    98,430x = 210,858 × 210,858
  4. Step 4: Simplify right side
    98,430x = 44,461,096,164
  5. Step 5: Solve for x
    x = 44,461,096,164/98,430
  6. Step 6: Final answer
    x = 451,702.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.