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Finding the Third Proportional to 99,308 and 216,088

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Solution

The third proportional to 99,308 and 216,088 is: 470,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,308 : 216,088 = 216,088 : x
  2. Step 2: Convert to fraction form
    99,308/216,088 = 216,088/x
  3. Step 3: Cross multiply
    99,308x = 216,088 × 216,088
  4. Step 4: Simplify right side
    99,308x = 46,694,023,744
  5. Step 5: Solve for x
    x = 46,694,023,744/99,308
  6. Step 6: Final answer
    x = 470,193.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.