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Finding the Third Proportional to 99,440 and 216,370

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Solution

The third proportional to 99,440 and 216,370 is: 470,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,440 : 216,370 = 216,370 : x
  2. Step 2: Convert to fraction form
    99,440/216,370 = 216,370/x
  3. Step 3: Cross multiply
    99,440x = 216,370 × 216,370
  4. Step 4: Simplify right side
    99,440x = 46,815,976,900
  5. Step 5: Solve for x
    x = 46,815,976,900/99,440
  6. Step 6: Final answer
    x = 470,796.23

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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.