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Finding the Third Proportional to 99,316 and 216,100

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Solution

The third proportional to 99,316 and 216,100 is: 470,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,316 : 216,100 = 216,100 : x
  2. Step 2: Convert to fraction form
    99,316/216,100 = 216,100/x
  3. Step 3: Cross multiply
    99,316x = 216,100 × 216,100
  4. Step 4: Simplify right side
    99,316x = 46,699,210,000
  5. Step 5: Solve for x
    x = 46,699,210,000/99,316
  6. Step 6: Final answer
    x = 470,208.32

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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.