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Finding the Third Proportional to 133,710.75 and 196,587

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Solution

The third proportional to 133,710.75 and 196,587 is: 289,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,710.75 : 196,587 = 196,587 : x
  2. Step 2: Convert to fraction form
    133,710.75/196,587 = 196,587/x
  3. Step 3: Cross multiply
    133,710.75x = 196,587 × 196,587
  4. Step 4: Simplify right side
    133,710.75x = 38,646,448,569
  5. Step 5: Solve for x
    x = 38,646,448,569/133,710.75
  6. Step 6: Final answer
    x = 289,030.23

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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.