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Finding the Third Proportional to 99,533 and 210,730

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Solution

The third proportional to 99,533 and 210,730 is: 446,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,533 : 210,730 = 210,730 : x
  2. Step 2: Convert to fraction form
    99,533/210,730 = 210,730/x
  3. Step 3: Cross multiply
    99,533x = 210,730 × 210,730
  4. Step 4: Simplify right side
    99,533x = 44,407,132,900
  5. Step 5: Solve for x
    x = 44,407,132,900/99,533
  6. Step 6: Final answer
    x = 446,154.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.