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Finding the Third Proportional to 97,603.50 and 144,489

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Solution

The third proportional to 97,603.50 and 144,489 is: 213,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,603.50 : 144,489 = 144,489 : x
  2. Step 2: Convert to fraction form
    97,603.50/144,489 = 144,489/x
  3. Step 3: Cross multiply
    97,603.50x = 144,489 × 144,489
  4. Step 4: Simplify right side
    97,603.50x = 20,877,071,121
  5. Step 5: Solve for x
    x = 20,877,071,121/97,603.50
  6. Step 6: Final answer
    x = 213,896.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.