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Finding the Third Proportional to 99,430 and 146,208

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Solution

The third proportional to 99,430 and 146,208 is: 214,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,430 : 146,208 = 146,208 : x
  2. Step 2: Convert to fraction form
    99,430/146,208 = 146,208/x
  3. Step 3: Cross multiply
    99,430x = 146,208 × 146,208
  4. Step 4: Simplify right side
    99,430x = 21,376,779,264
  5. Step 5: Solve for x
    x = 21,376,779,264/99,430
  6. Step 6: Final answer
    x = 214,993.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.