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Finding the Third Proportional to 99,735 and 145,745

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Solution

The third proportional to 99,735 and 145,745 is: 212,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,735 : 145,745 = 145,745 : x
  2. Step 2: Convert to fraction form
    99,735/145,745 = 145,745/x
  3. Step 3: Cross multiply
    99,735x = 145,745 × 145,745
  4. Step 4: Simplify right side
    99,735x = 21,241,605,025
  5. Step 5: Solve for x
    x = 21,241,605,025/99,735
  6. Step 6: Final answer
    x = 212,980.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.