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Finding the Third Proportional to 99,641 and 210,537

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Solution

The third proportional to 99,641 and 210,537 is: 444,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,641 : 210,537 = 210,537 : x
  2. Step 2: Convert to fraction form
    99,641/210,537 = 210,537/x
  3. Step 3: Cross multiply
    99,641x = 210,537 × 210,537
  4. Step 4: Simplify right side
    99,641x = 44,325,828,369
  5. Step 5: Solve for x
    x = 44,325,828,369/99,641
  6. Step 6: Final answer
    x = 444,855.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.