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Finding the Third Proportional to 99,372 and 145,888

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Solution

The third proportional to 99,372 and 145,888 is: 214,178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,372 : 145,888 = 145,888 : x
  2. Step 2: Convert to fraction form
    99,372/145,888 = 145,888/x
  3. Step 3: Cross multiply
    99,372x = 145,888 × 145,888
  4. Step 4: Simplify right side
    99,372x = 21,283,308,544
  5. Step 5: Solve for x
    x = 21,283,308,544/99,372
  6. Step 6: Final answer
    x = 214,178.12

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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.