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Finding the Third Proportional to 91,830 and 197,664

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Solution

The third proportional to 91,830 and 197,664 is: 425,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,830 : 197,664 = 197,664 : x
  2. Step 2: Convert to fraction form
    91,830/197,664 = 197,664/x
  3. Step 3: Cross multiply
    91,830x = 197,664 × 197,664
  4. Step 4: Simplify right side
    91,830x = 39,071,056,896
  5. Step 5: Solve for x
    x = 39,071,056,896/91,830
  6. Step 6: Final answer
    x = 425,471.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.